Keyword Index

A

  • Adaptive active-set An Efficient LASSO Estimation for Time‑Dependent Cox Models via Adaptive Active‑Set Coordinate Descent [Volume 11, Issue 2, 2026, Pages 273-288]
  • Adomian decomposition method Artificial Neural Network and Physics-Informed Neural Network Assisted Analytical Solutions for Nonlinear Fractional Biological Models Using Local Fractional Operators [Volume 11, Issue 2, 2026, Pages 220-237]
  • Analytical bounds Analytical and Numerical Bounds for a Nonlinear Overlap Model of Circular Sectors [Volume 11, Issue 1, 2026, Pages 142-152]
  • Artificial Neural Networks Artificial Neural Network and Physics-Informed Neural Network Assisted Analytical Solutions for Nonlinear Fractional Biological Models Using Local Fractional Operators [Volume 11, Issue 2, 2026, Pages 220-237]

B

  • Banach contraction A Globally Convergent Fixed Point Framework for Linear and Nonlinear Mechanical Vibration Systems [Volume 11, Issue 2, 2026, Pages 363-374]
  • Black-Scholes equation Solving Fractional Black-Scholes and Navier-Stokes Equations via a New $ rac{t^{ arrho}}{ arrho}$-Integral Transform and Residual Power Series [Volume 11, Issue 1, 2026, Pages 1-31]
  • Burgers-Fisher equation A Hybrid Method Based on Rational Legendre Physics Informed Neural Networks and Cuckoo Optimization Algorithm for Solving Nonlinear Inverse Partial Differential Equations [Volume 11, Issue 2, 2026, Pages 333-351]

C

  • Caputo derivative A Hybrid Numerical Scheme for the Time-Fractional Telegraph Equation [Volume 11, Issue 2, 2026, Pages 311-323]
  • Caputo-Hadamard $q$-fractional derivative Convergence Quantum Analysis of Positive Solution for Caputo-Hadamard Fractional $q$-Differential Equations [Volume 11, Issue 2, 2026, Pages 204-219]
  • Cinematic Metaphor Pirates of the Caribbean Metaheuristic: A Novel Optimization Algorithm Inspired by Cinematic Metaphors for Solving Complex Optimization Problems [Volume 11, Issue 1, 2026, Pages 51-83]
  • Circular sector overlap Analytical and Numerical Bounds for a Nonlinear Overlap Model of Circular Sectors [Volume 11, Issue 1, 2026, Pages 142-152]
  • Collocation method A Hybrid Numerical Scheme for the Time-Fractional Telegraph Equation [Volume 11, Issue 2, 2026, Pages 311-323]
  • Compact finite difference scheme Development and Analysis of Optimized Numerical Scheme for Three-Dimensional Linear Time-Fractional Diffusion Equations [Volume 11, Issue 2, 2026, Pages 238-247]
  • Computational geometry Analytical and Numerical Bounds for a Nonlinear Overlap Model of Circular Sectors [Volume 11, Issue 1, 2026, Pages 142-152]
  • Convergence analysis From Quadratic Convergence to Structural Invariance: A Selje Topological Framework for Newton-Type Methods [Volume 11, Issue 1, 2026, Pages 174-185]
  • Coordinate descent An Efficient LASSO Estimation for Time‑Dependent Cox Models via Adaptive Active‑Set Coordinate Descent [Volume 11, Issue 2, 2026, Pages 273-288]
  • Coverage Probability Bootstrap Highest Density Confidence Interval by Comparing Two Climatological Regions [Volume 11, Issue 2, 2026, Pages 324-332]
  • Cuckoo optimization algorithm A Hybrid Method Based on Rational Legendre Physics Informed Neural Networks and Cuckoo Optimization Algorithm for Solving Nonlinear Inverse Partial Differential Equations [Volume 11, Issue 2, 2026, Pages 333-351]

D

  • Deep Learning Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations [Volume 11, Issue 1, 2026, Pages 153-173]
  • Duopoly System Simultaneous Profit Optimization and Market Price Agreement in Networks of LTI Duopoly Systems [Volume 11, Issue 2, 2026, Pages 352-362]

E

  • Energy imbalance Designing an Efficient and Incentive-Compatible Mechanism of Self-Adjusting in the Smart Power Grid [Volume 11, Issue 1, 2026, Pages 101-115]
  • Energy stability A Globally Convergent Fixed Point Framework for Linear and Nonlinear Mechanical Vibration Systems [Volume 11, Issue 2, 2026, Pages 363-374]
  • Error analysis The Solution for Systems of High-Order Linear Volterra-Fredholm Integro-Differential Equations [Volume 11, Issue 1, 2026, Pages 93-100]
  • Existence Application of Fractional Quantum Calculus on Lane-Emden Type Problem Involving Two Fractional q_Derivatives [Volume 11, Issue 1, 2026, Pages 32-50]
  • Extreme Values Bootstrap Highest Density Confidence Interval by Comparing Two Climatological Regions [Volume 11, Issue 2, 2026, Pages 324-332]

F

  • Fibonacci polynomial Fibonacci Polynomial Reproducing Kernel Collocation Method for 2D Time-Fractional Diffusion Equations [Volume 11, Issue 1, 2026, Pages 116-129]
  • Fisher equation A Hybrid Method Based on Rational Legendre Physics Informed Neural Networks and Cuckoo Optimization Algorithm for Solving Nonlinear Inverse Partial Differential Equations [Volume 11, Issue 2, 2026, Pages 333-351]
  • Fixed point iteration A Globally Convergent Fixed Point Framework for Linear and Nonlinear Mechanical Vibration Systems [Volume 11, Issue 2, 2026, Pages 363-374]
  • Fourier and Laplace transforms Exact Solutions, Convergence, and Stability Analysis of Fractional Diffusion Models with Nonlocal Interactions [Volume 11, Issue 1, 2026, Pages 186-203]
  • Fractional differential equations Artificial Neural Network and Physics-Informed Neural Network Assisted Analytical Solutions for Nonlinear Fractional Biological Models Using Local Fractional Operators [Volume 11, Issue 2, 2026, Pages 220-237]
  • Fractional integro-differential equation Exact Solutions, Convergence, and Stability Analysis of Fractional Diffusion Models with Nonlocal Interactions [Volume 11, Issue 1, 2026, Pages 186-203]
  • Fuzzy differential equations Characterization Theorem for the Numerical Solution of Fuzzy Differential Inclusions (FDIs) [Volume 11, Issue 1, 2026, Pages 84-92]
  • Fuzzy graphs Fuzzy Graph Extensions of Sandpile Monoids and Their Connections to Leavitt Path Algebras [Volume 11, Issue 1, 2026, Pages 130-141]
  • Fuzzy regression Fuzzy Regression-Based Statistical Modelling of Cardiovascular Risk Factors Using Indian Healthcare Data [Volume 11, Issue 2, 2026, Pages 289-303]

G

  • Game theory Designing an Efficient and Incentive-Compatible Mechanism of Self-Adjusting in the Smart Power Grid [Volume 11, Issue 1, 2026, Pages 101-115]
  • Gauss-Kronrod-Legendre quadrature rules The Solution for Systems of High-Order Linear Volterra-Fredholm Integro-Differential Equations [Volume 11, Issue 1, 2026, Pages 93-100]
  • Geometric modeling Analytical and Numerical Bounds for a Nonlinear Overlap Model of Circular Sectors [Volume 11, Issue 1, 2026, Pages 142-152]
  • Global Optimization Pirates of the Caribbean Metaheuristic: A Novel Optimization Algorithm Inspired by Cinematic Metaphors for Solving Complex Optimization Problems [Volume 11, Issue 1, 2026, Pages 51-83]
  • Graded mesh Development and Analysis of Optimized Numerical Scheme for Three-Dimensional Linear Time-Fractional Diffusion Equations [Volume 11, Issue 2, 2026, Pages 238-247]
  • Gradient Flow Optimization Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations [Volume 11, Issue 1, 2026, Pages 153-173]

H

  • Hybrid Metaheuristic Pirates of the Caribbean Metaheuristic: A Novel Optimization Algorithm Inspired by Cinematic Metaphors for Solving Complex Optimization Problems [Volume 11, Issue 1, 2026, Pages 51-83]

I

  • Indian healthcare data Fuzzy Regression-Based Statistical Modelling of Cardiovascular Risk Factors Using Indian Healthcare Data [Volume 11, Issue 2, 2026, Pages 289-303]
  • IoT security A Multi-Layer Graph-Theoretic Model for Detecting Anomalous Communication Patterns in IoT Networks [Volume 11, Issue 2, 2026, Pages 248-272]

L

  • LASSO An Efficient LASSO Estimation for Time‑Dependent Cox Models via Adaptive Active‑Set Coordinate Descent [Volume 11, Issue 2, 2026, Pages 273-288]
  • Leavitt path algebra Fuzzy Graph Extensions of Sandpile Monoids and Their Connections to Leavitt Path Algebras [Volume 11, Issue 1, 2026, Pages 130-141]
  • LTI Control System Simultaneous Profit Optimization and Market Price Agreement in Networks of LTI Duopoly Systems [Volume 11, Issue 2, 2026, Pages 352-362]

M

  • Mechanical vibrations A Globally Convergent Fixed Point Framework for Linear and Nonlinear Mechanical Vibration Systems [Volume 11, Issue 2, 2026, Pages 363-374]
  • Mechanism design Designing an Efficient and Incentive-Compatible Mechanism of Self-Adjusting in the Smart Power Grid [Volume 11, Issue 1, 2026, Pages 101-115]
  • Mittag--Leffler function Exact Solutions, Convergence, and Stability Analysis of Fractional Diffusion Models with Nonlocal Interactions [Volume 11, Issue 1, 2026, Pages 186-203]
  • Mittag-Leffler function Artificial Neural Network and Physics-Informed Neural Network Assisted Analytical Solutions for Nonlinear Fractional Biological Models Using Local Fractional Operators [Volume 11, Issue 2, 2026, Pages 220-237]
  • Multi-layer graphs A Multi-Layer Graph-Theoretic Model for Detecting Anomalous Communication Patterns in IoT Networks [Volume 11, Issue 2, 2026, Pages 248-272]

N

  • Navier-Stockes Solving Fractional Black-Scholes and Navier-Stokes Equations via a New $ rac{t^{ arrho}}{ arrho}$-Integral Transform and Residual Power Series [Volume 11, Issue 1, 2026, Pages 1-31]
  • New $\tfrac{t^{\varrho}}{\varrho}$-general transform Solving Fractional Black-Scholes and Navier-Stokes Equations via a New $ rac{t^{ arrho}}{ arrho}$-Integral Transform and Residual Power Series [Volume 11, Issue 1, 2026, Pages 1-31]
  • Newton-type methods From Quadratic Convergence to Structural Invariance: A Selje Topological Framework for Newton-Type Methods [Volume 11, Issue 1, 2026, Pages 174-185]
  • Nonlinear equations A Comparative Study of Regular Expression Tools for Developers: Usability, Practical Efficiency, and a Nonlinear Equation Case Study [Volume 11, Issue 2, 2026, Pages 304-310]
  • Nonlinear inverse partial differential equations A Hybrid Method Based on Rational Legendre Physics Informed Neural Networks and Cuckoo Optimization Algorithm for Solving Nonlinear Inverse Partial Differential Equations [Volume 11, Issue 2, 2026, Pages 333-351]
  • Nonlinear systems A Globally Convergent Fixed Point Framework for Linear and Nonlinear Mechanical Vibration Systems [Volume 11, Issue 2, 2026, Pages 363-374]
  • Numerical analysis A Globally Convergent Fixed Point Framework for Linear and Nonlinear Mechanical Vibration Systems [Volume 11, Issue 2, 2026, Pages 363-374]

O

  • Operator inequalities Analytical and Numerical Bounds for a Nonlinear Overlap Model of Circular Sectors [Volume 11, Issue 1, 2026, Pages 142-152]
  • Optimal control Simultaneous Profit Optimization and Market Price Agreement in Networks of LTI Duopoly Systems [Volume 11, Issue 2, 2026, Pages 352-362]

P

  • Partial Differential Equations (PDEs) Pirates of the Caribbean Metaheuristic: A Novel Optimization Algorithm Inspired by Cinematic Metaphors for Solving Complex Optimization Problems [Volume 11, Issue 1, 2026, Pages 51-83]
  • Physics-informed neural networks Artificial Neural Network and Physics-Informed Neural Network Assisted Analytical Solutions for Nonlinear Fractional Biological Models Using Local Fractional Operators [Volume 11, Issue 2, 2026, Pages 220-237]
  • Physics-informed neural networks A Hybrid Method Based on Rational Legendre Physics Informed Neural Networks and Cuckoo Optimization Algorithm for Solving Nonlinear Inverse Partial Differential Equations [Volume 11, Issue 2, 2026, Pages 333-351]
  • Pirates of the Caribbean Optimization Algorithm (PCOA) Pirates of the Caribbean Metaheuristic: A Novel Optimization Algorithm Inspired by Cinematic Metaphors for Solving Complex Optimization Problems [Volume 11, Issue 1, 2026, Pages 51-83]
  • Players Designing an Efficient and Incentive-Compatible Mechanism of Self-Adjusting in the Smart Power Grid [Volume 11, Issue 1, 2026, Pages 101-115]
  • Polynomial reproducing kernel Fibonacci Polynomial Reproducing Kernel Collocation Method for 2D Time-Fractional Diffusion Equations [Volume 11, Issue 1, 2026, Pages 116-129]
  • Price Agreement Simultaneous Profit Optimization and Market Price Agreement in Networks of LTI Duopoly Systems [Volume 11, Issue 2, 2026, Pages 352-362]
  • Program comprehension A Comparative Study of Regular Expression Tools for Developers: Usability, Practical Efficiency, and a Nonlinear Equation Case Study [Volume 11, Issue 2, 2026, Pages 304-310]

Q

  • Quantile Bootstrap Highest Density Confidence Interval by Comparing Two Climatological Regions [Volume 11, Issue 2, 2026, Pages 324-332]
  • Quintic B-spline method The Solution for Systems of High-Order Linear Volterra-Fredholm Integro-Differential Equations [Volume 11, Issue 1, 2026, Pages 93-100]

R

  • Radial basis functions A Hybrid Numerical Scheme for the Time-Fractional Telegraph Equation [Volume 11, Issue 2, 2026, Pages 311-323]
  • Rational Legendre polynomials A Hybrid Method Based on Rational Legendre Physics Informed Neural Networks and Cuckoo Optimization Algorithm for Solving Nonlinear Inverse Partial Differential Equations [Volume 11, Issue 2, 2026, Pages 333-351]
  • Reaction-diffusion systems Artificial Neural Network and Physics-Informed Neural Network Assisted Analytical Solutions for Nonlinear Fractional Biological Models Using Local Fractional Operators [Volume 11, Issue 2, 2026, Pages 220-237]
  • Regex tools A Comparative Study of Regular Expression Tools for Developers: Usability, Practical Efficiency, and a Nonlinear Equation Case Study [Volume 11, Issue 2, 2026, Pages 304-310]
  • Regular expressions A Comparative Study of Regular Expression Tools for Developers: Usability, Practical Efficiency, and a Nonlinear Equation Case Study [Volume 11, Issue 2, 2026, Pages 304-310]
  • Reproducing kernel collocation method Fibonacci Polynomial Reproducing Kernel Collocation Method for 2D Time-Fractional Diffusion Equations [Volume 11, Issue 1, 2026, Pages 116-129]
  • Resampling Bootstrap Method Bootstrap Highest Density Confidence Interval by Comparing Two Climatological Regions [Volume 11, Issue 2, 2026, Pages 324-332]
  • Residual Connections Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations [Volume 11, Issue 1, 2026, Pages 153-173]
  • Residual Power Series‎ Solving Fractional Black-Scholes and Navier-Stokes Equations via a New $ rac{t^{ arrho}}{ arrho}$-Integral Transform and Residual Power Series [Volume 11, Issue 1, 2026, Pages 1-31]
  • Riesz fractional operator Exact Solutions, Convergence, and Stability Analysis of Fractional Diffusion Models with Nonlocal Interactions [Volume 11, Issue 1, 2026, Pages 186-203]

S

  • Selje topology From Quadratic Convergence to Structural Invariance: A Selje Topological Framework for Newton-Type Methods [Volume 11, Issue 1, 2026, Pages 174-185]
  • Semi-discrete Fibonacci Polynomial Reproducing Kernel Collocation Method for 2D Time-Fractional Diffusion Equations [Volume 11, Issue 1, 2026, Pages 116-129]
  • Smart grid Designing an Efficient and Incentive-Compatible Mechanism of Self-Adjusting in the Smart Power Grid [Volume 11, Issue 1, 2026, Pages 101-115]
  • Software engineering A Comparative Study of Regular Expression Tools for Developers: Usability, Practical Efficiency, and a Nonlinear Equation Case Study [Volume 11, Issue 2, 2026, Pages 304-310]
  • Stability and convergence A Hybrid Numerical Scheme for the Time-Fractional Telegraph Equation [Volume 11, Issue 2, 2026, Pages 311-323]
  • Stability and convergence analysis Development and Analysis of Optimized Numerical Scheme for Three-Dimensional Linear Time-Fractional Diffusion Equations [Volume 11, Issue 2, 2026, Pages 238-247]
  • State Consensus Simultaneous Profit Optimization and Market Price Agreement in Networks of LTI Duopoly Systems [Volume 11, Issue 2, 2026, Pages 352-362]
  • System of Linear Volterra-Fredholm integro-differential equations The Solution for Systems of High-Order Linear Volterra-Fredholm Integro-Differential Equations [Volume 11, Issue 1, 2026, Pages 93-100]

T

  • Three-dimensional diffusion equation Development and Analysis of Optimized Numerical Scheme for Three-Dimensional Linear Time-Fractional Diffusion Equations [Volume 11, Issue 2, 2026, Pages 238-247]
  • Time-Dependent Cox Model An Efficient LASSO Estimation for Time‑Dependent Cox Models via Adaptive Active‑Set Coordinate Descent [Volume 11, Issue 2, 2026, Pages 273-288]
  • Time-fractional diffusion equation Development and Analysis of Optimized Numerical Scheme for Three-Dimensional Linear Time-Fractional Diffusion Equations [Volume 11, Issue 2, 2026, Pages 238-247]
  • Time-fractional diffusion equations Fibonacci Polynomial Reproducing Kernel Collocation Method for 2D Time-Fractional Diffusion Equations [Volume 11, Issue 1, 2026, Pages 116-129]
  • Time–fractional telegraph equation A Hybrid Numerical Scheme for the Time-Fractional Telegraph Equation [Volume 11, Issue 2, 2026, Pages 311-323]

U

  • Usability A Comparative Study of Regular Expression Tools for Developers: Usability, Practical Efficiency, and a Nonlinear Equation Case Study [Volume 11, Issue 2, 2026, Pages 304-310]

V

  • Variable selection An Efficient LASSO Estimation for Time‑Dependent Cox Models via Adaptive Active‑Set Coordinate Descent [Volume 11, Issue 2, 2026, Pages 273-288]