Research graph
References from Regularity and Numerical Analysis of Multi‐Term General Fractional Advection‐Diffusion Equations With Scale and Weight Dependencies. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
1999 · External reference
Some Generalized Fractional Calculus Operators and Their Applications in Integral Equations
10.2478/s13540-012-0047-7 · 2012 · External reference
Numerical and Analytical Solutions of New Generalized Fractional Diffusion Equation
10.1016/j.camwa.2013.08.028 · 2013 · External reference
On Asymptotic Stability of Weber Fractional Differential Systems
2018 · External reference
Time–Space Fractional Euler–Poisson–Darboux Equation With Bessel Fractional Derivative in Infinite and Finite Domains
10.1016/j.matcom.2023.12.001 · 2024 · External reference
A Solely Time‐Dependent Source Reconstruction in a Multiterm Time‐Fractional Order Diffusion Equation With Non‐Smooth Solutions
10.1007/s11075-021-01210-w · 2022 · External reference
Galerkin Spectral Method for a Multi‐Term Time‐Fractional Diffusion Equation and an Application to Inverse Source Problem
10.3934/nhm.2023008 · 2023 · External reference
Numerical Investigation of the 2D Unsteady Natural Convection Heat Transfer Equation With Tempered Fractional Constitutive Relationship
10.1016/j.cnsns.2026.110071 · 2026 · External reference
A Multi‐Term Fractional Diffusion Equation for Oxygen Delivery Through a Capillary to Tissues
10.1016/j.mcm.2009.11.002 · 2010 · External reference
Novel Numerical Analysis of Multi‐Term Time Fractional Viscoelastic Non‐Newtonian Fluid Models for Simulating Unsteady Mhd Couette Flow of a Generalized Oldroyd‐B Fluid
10.1515/fca-2018-0058 · 2018 · External reference
The Role of Fractional Calculus in Modeling Biological Phenomena: A Review
10.1016/j.cnsns.2017.04.001 · 2017 · External reference
Novel Parameter Estimation Techniques for a Multi‐Term Fractional Dynamical Epidemic Model of Dengue Fever
10.1007/s11075-019-00665-2 · 2019 · External reference
Numerical Algorithm for a General Fractional Diffusion Equation
10.1016/j.matcom.2024.04.018 · 2024 · External reference
10.3390/app8060960
10.3390/app8060960 · External reference
10.1017/s1446181124000154
10.1017/s1446181124000154 · External reference
Why Fractional Derivatives With Nonsingular Kernels Should Not Be Used
10.1515/fca-2020-0032 · 2020 · External reference
A New Definition of Fractional Derivative Without Singular Kernel
2015 · External reference
New Fractional Derivatives With Nonlocal and Non‐Singular Kernel: Theory and Application to Heat Transfer Model
10.2298/tsci160111018a · 2016 · External reference
Fundamental Solutions of the Time Fractional Diffusion‐Wave and Parabolic Dirac Operators
10.1016/j.jmaa.2016.08.052 · 2017 · External reference
Analytical Solutions for the Multi‐Term Time‐Space Caputo‐Riesz Fractional Advection‐Diffusion Equations on a Finite Domain
10.1016/j.jmaa.2011.12.055 · 2012 · External reference
Analytical Solutions for the Multi‐Term Time‐Fractional Diffusion‐Wave/Diffusion Equations in a Finite Domain
10.1016/j.camwa.2012.02.042 · 2012 · External reference
An L1 Approximation for a Fractional Reaction‐Diffusion Equation, a Second‐Order Error Analysis Over Time‐Graded Meshes
10.1137/19m1260475 · 2020 · External reference
Spline Collocation Methods for Linear Multi‐Term Fractional Differential Equations
10.1016/j.cam.2011.06.015 · 2011 · External reference
A General Framework for the Numerical Analysis of High‐Order Finite Difference Solvers for Nonlinear Multi‐Term Time‐Space Fractional Partial Differential Equations With Time Delay
10.1016/j.apnum.2021.06.010 · 2021 · External reference
Numerical Approximation of Fourth‐Order Fractional Diffusion‐Wave Systems Using Finite Difference and Discontinuous Galerkin Method
10.3934/nhm.2025058 · 2025 · External reference
High‐Precision Numerical Simulation for Fractional Convection‐Diffusion‐Reaction Equations
10.1002/mma.70756 · 2026 · External reference
A Hybrid Numerical Method With High Accuracy to Solve a Time‐Space Diffusion Model in Terms of the Caputo and Riesz Fractional Derivatives
10.1007/s11227-025-07287-7 · 2025 · External reference
Numerical Simulation of Time Variable Fractional Order Mobile–Immobile Advection–Dispersion Model Based on an Efficient Hybrid Numerical Method With Stability and Convergence Analysis
10.1016/j.matcom.2022.09.020 · 2023 · External reference
Stability Analysis Study of Time‐Fractional Nonlinear Modified Kawahara Equation Based on the Homotopy Perturbation Sadik Transform
10.3390/fractalfract8090512 · 2024 · External reference
Compact ADI Methods for the Generalized Two‐Dimensional Oldroyd‐B Type Multi‐Term Fractional Mixed Diffusion and Diffusion‐Wave Model
10.1016/j.matcom.2025.08.018 · 2026 · External reference
Finite Difference/Finite Element Method for a Novel 2D Multi‐Term Time‐Fractional Mixed Sub‐Diffusion and Diffusion‐Wave Equation on Convex Domains
10.1016/j.cnsns.2018.10.016 · 2019 · External reference
An Alternating Direction Implicit Legendre Spectral Method for Simulating a 2D Multi‐Term Time‐Fractional Oldroyd‐B Fluid Type Diffusion Equation
10.1016/j.camwa.2022.03.020 · 2022 · External reference
Reduced Proper Orthogonal Decomposition Spectral Element Method for the Solution of 2D Multi‐Term Time Fractional Mixed Diffusion and Diffusion‐Wave Equations in Linear and Nonlinear Modes
10.1016/j.camwa.2022.02.016 · 2022 · External reference
Too Much Regularity May Force Too Much Uniqueness
10.1515/fca-2016-0080 · 2016 · External reference
Error Analysis of a Finite Difference Method on Graded Meshes for a Time‐Fractional Diffusion Equation
10.1137/16m1082329 · 2017 · External reference
Novel Numerical Methods Based on Graded, Adaptive and Uniform Meshes for a Time‐Fractional Advection‐Diffusion Equation Subjected to Weakly Singular Solution
10.1007/s11075-024-01804-0 · 2025 · External reference
Error Analysis of a Finite Difference Method on Graded Meshes for a Multiterm Time‐Fractional Initial‐Boundary Value Problem
10.1515/cmam-2019-0042 · 2020 · External reference
Initial‐Boundary Value Problems for Multi‐Term Time‐Fractional Diffusion Equations With Positive Constant Coefficients
10.1016/j.amc.2014.11.073 · 2015 · External reference
An Operational Method for Solving Fractional Differential Equations With the Caputo Derivatives
1999 · External reference
10.1007/978-1-4419-7916-2
10.1007/978-1-4419-7916-2 · 2011 · External reference
Grid Equidistribution for Reaction‐Diffusion Problems in One Dimension
10.1007/s11075-005-7079-6 · 2005 · External reference
Parameter Uniform Numerical Method for Singularly Perturbed Parabolic Reaction‐Diffusion Problems on Equidistributed Grids
2013 · External reference
Robust Numerical Scheme for Singularly Perturbed Convection‐Diffusion Parabolic Initial‐Boundary‐Value Problems on Equidistributed Grids
10.1016/j.cpc.2014.04.004 · 2014 · External reference
High‐Precision Numerical Simulation for Fractional Convection‐Diffusion‐Reaction Equations
10.1002/mma.70756 · ExternalCitation · doi-reference
10.1007/978-1-4419-7916-2
10.1007/978-1-4419-7916-2 · ExternalCitation · doi-reference
Grid Equidistribution for Reaction‐Diffusion Problems in One Dimension
10.1007/s11075-005-7079-6 · ExternalCitation · doi-reference
Novel Parameter Estimation Techniques for a Multi‐Term Fractional Dynamical Epidemic Model of Dengue Fever
10.1007/s11075-019-00665-2 · ExternalCitation · doi-reference
A Solely Time‐Dependent Source Reconstruction in a Multiterm Time‐Fractional Order Diffusion Equation With Non‐Smooth Solutions
10.1007/s11075-021-01210-w · ExternalCitation · doi-reference
Novel Numerical Methods Based on Graded, Adaptive and Uniform Meshes for a Time‐Fractional Advection‐Diffusion Equation Subjected to Weakly Singular Solution
10.1007/s11075-024-01804-0 · ExternalCitation · doi-reference
A Hybrid Numerical Method With High Accuracy to Solve a Time‐Space Diffusion Model in Terms of the Caputo and Riesz Fractional Derivatives
10.1007/s11227-025-07287-7 · ExternalCitation · doi-reference
Initial‐Boundary Value Problems for Multi‐Term Time‐Fractional Diffusion Equations With Positive Constant Coefficients
10.1016/j.amc.2014.11.073 · ExternalCitation · doi-reference
A General Framework for the Numerical Analysis of High‐Order Finite Difference Solvers for Nonlinear Multi‐Term Time‐Space Fractional Partial Differential Equations With Time Delay
10.1016/j.apnum.2021.06.010 · ExternalCitation · doi-reference
Spline Collocation Methods for Linear Multi‐Term Fractional Differential Equations
10.1016/j.cam.2011.06.015 · ExternalCitation · doi-reference
Analytical Solutions for the Multi‐Term Time‐Fractional Diffusion‐Wave/Diffusion Equations in a Finite Domain
10.1016/j.camwa.2012.02.042 · ExternalCitation · doi-reference
Numerical and Analytical Solutions of New Generalized Fractional Diffusion Equation
10.1016/j.camwa.2013.08.028 · ExternalCitation · doi-reference
Reduced Proper Orthogonal Decomposition Spectral Element Method for the Solution of 2D Multi‐Term Time Fractional Mixed Diffusion and Diffusion‐Wave Equations in Linear and Nonlinear Modes
10.1016/j.camwa.2022.02.016 · ExternalCitation · doi-reference
An Alternating Direction Implicit Legendre Spectral Method for Simulating a 2D Multi‐Term Time‐Fractional Oldroyd‐B Fluid Type Diffusion Equation
10.1016/j.camwa.2022.03.020 · ExternalCitation · doi-reference
The Role of Fractional Calculus in Modeling Biological Phenomena: A Review
10.1016/j.cnsns.2017.04.001 · ExternalCitation · doi-reference
Finite Difference/Finite Element Method for a Novel 2D Multi‐Term Time‐Fractional Mixed Sub‐Diffusion and Diffusion‐Wave Equation on Convex Domains
10.1016/j.cnsns.2018.10.016 · ExternalCitation · doi-reference
Numerical Investigation of the 2D Unsteady Natural Convection Heat Transfer Equation With Tempered Fractional Constitutive Relationship
10.1016/j.cnsns.2026.110071 · ExternalCitation · doi-reference
Robust Numerical Scheme for Singularly Perturbed Convection‐Diffusion Parabolic Initial‐Boundary‐Value Problems on Equidistributed Grids
10.1016/j.cpc.2014.04.004 · ExternalCitation · doi-reference
Analytical Solutions for the Multi‐Term Time‐Space Caputo‐Riesz Fractional Advection‐Diffusion Equations on a Finite Domain
10.1016/j.jmaa.2011.12.055 · ExternalCitation · doi-reference
Fundamental Solutions of the Time Fractional Diffusion‐Wave and Parabolic Dirac Operators
10.1016/j.jmaa.2016.08.052 · ExternalCitation · doi-reference
Numerical Simulation of Time Variable Fractional Order Mobile–Immobile Advection–Dispersion Model Based on an Efficient Hybrid Numerical Method With Stability and Convergence Analysis
10.1016/j.matcom.2022.09.020 · ExternalCitation · doi-reference
Time–Space Fractional Euler–Poisson–Darboux Equation With Bessel Fractional Derivative in Infinite and Finite Domains
10.1016/j.matcom.2023.12.001 · ExternalCitation · doi-reference
Numerical Algorithm for a General Fractional Diffusion Equation
10.1016/j.matcom.2024.04.018 · ExternalCitation · doi-reference
Compact ADI Methods for the Generalized Two‐Dimensional Oldroyd‐B Type Multi‐Term Fractional Mixed Diffusion and Diffusion‐Wave Model
10.1016/j.matcom.2025.08.018 · ExternalCitation · doi-reference
A Multi‐Term Fractional Diffusion Equation for Oxygen Delivery Through a Capillary to Tissues
10.1016/j.mcm.2009.11.002 · ExternalCitation · doi-reference
10.1017/s1446181124000154
10.1017/s1446181124000154 · ExternalCitation · doi-reference
Error Analysis of a Finite Difference Method on Graded Meshes for a Time‐Fractional Diffusion Equation
10.1137/16m1082329 · ExternalCitation · doi-reference
An L1 Approximation for a Fractional Reaction‐Diffusion Equation, a Second‐Order Error Analysis Over Time‐Graded Meshes
10.1137/19m1260475 · ExternalCitation · doi-reference
Error Analysis of a Finite Difference Method on Graded Meshes for a Multiterm Time‐Fractional Initial‐Boundary Value Problem
10.1515/cmam-2019-0042 · ExternalCitation · doi-reference
Too Much Regularity May Force Too Much Uniqueness
10.1515/fca-2016-0080 · ExternalCitation · doi-reference
Novel Numerical Analysis of Multi‐Term Time Fractional Viscoelastic Non‐Newtonian Fluid Models for Simulating Unsteady Mhd Couette Flow of a Generalized Oldroyd‐B Fluid
10.1515/fca-2018-0058 · ExternalCitation · doi-reference
Why Fractional Derivatives With Nonsingular Kernels Should Not Be Used
10.1515/fca-2020-0032 · ExternalCitation · doi-reference
New Fractional Derivatives With Nonlocal and Non‐Singular Kernel: Theory and Application to Heat Transfer Model
10.2298/tsci160111018a · ExternalCitation · doi-reference
Some Generalized Fractional Calculus Operators and Their Applications in Integral Equations
10.2478/s13540-012-0047-7 · ExternalCitation · doi-reference
10.3390/app8060960
10.3390/app8060960 · ExternalCitation · doi-reference
Stability Analysis Study of Time‐Fractional Nonlinear Modified Kawahara Equation Based on the Homotopy Perturbation Sadik Transform
10.3390/fractalfract8090512 · ExternalCitation · doi-reference
Galerkin Spectral Method for a Multi‐Term Time‐Fractional Diffusion Equation and an Application to Inverse Source Problem
10.3934/nhm.2023008 · ExternalCitation · doi-reference
Numerical Approximation of Fourth‐Order Fractional Diffusion‐Wave Systems Using Finite Difference and Discontinuous Galerkin Method
10.3934/nhm.2025058 · ExternalCitation · doi-reference
