Existence and Stability of Integro Differential Equation with Generalized Proportional Fractional Derivative-Reference-Cited by-同舟云学术

Existence and Stability of Integro Differential Equation with Generalized Proportional Fractional Derivative

Published:2023-08 Issue:4 Volume:58 Page:253-263
ISSN:1068-3623
Container-title:Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
language:en
Short-container-title:J. Contemp. Mathemat. Anal.

Author:

Harikrishnan S.,Vivek D.,Elsayed E. M.

Publisher

Allerton Press

Subject

Applied Mathematics,Control and Optimization,Analysis

Link

https://link.springer.com/content/pdf/10.3103/S1068362323040040.pdf

Reference21 articles.

1. M. Abbas and M. Ragusa, ‘‘On the hybrid fractional differential equations with fractional proportional derivatives of a function with respect to a certain function,’’ Symmetry 13, 264 (2021). https://doi.org/10.3390/sym13020264

2. M. I. Abbas, ‘‘Controllability and Hyers–Ulam stability results of initial value problems for fractional differential equations via generalized proportional-Caputo fractional derivative,’’ Miskolc Math. Notes 22, 491 (2021). https://doi.org/10.18514/mmn.2021.3470

3. M. I. Abbas, ‘‘Existence results and the Ulam stability for fractional differential equations with hybrid proportional-Caputo derivatives,’’ J. Nonlinear Funct. Anal. 2020, 48 (2020). https://doi.org/10.23952/jnfa.2020.48

4. B. Ahmad and J. J. Nieto, ‘‘Riemann–Liouville fractional differential equations with fractional boundary conditions,’’ Fixed Point Theory 13, 329–336 (2013).

5. R. Almeida, ‘‘A Caputo fractional derivative of a function with respect to another function,’’ Commun. Nonlinear Sci. Numer. Simul. 44, 460–481 (2017). https://doi.org/10.1016/j.cnsns.2016.09.006