A note on a class of Caputo fractional differential equations with respect to another function

DOI10.1016/j.matcom.2022.01.016OpenAlexW4210480954WikidataQ115343706 ScholiaQ115343706MaRDI QIDQ2670427

Ahmed S. Hendy, Mahmoud A. Zaky, Durvudkhan Suragan

Publication date: 11 March 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.01.016

zbMATH Keywords

analytical solutionwell-posednessexistence and uniquenessvariable-order derivativefractional derivative with respect to another function

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (3)

Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ On the importance of conjugation relations in fractional calculus ⋮ A new operational vector approach for time‐fractional subdiffusion equations of distributed order based on hybrid functions

Cites Work

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• Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions
• Wellposedness and regularity of the variable-order time-fractional diffusion equations
• Wellposedness and regularity of a variable-order space-time fractional diffusion equation
• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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