Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative-Reference-Cited by-同舟云学术

Fractional Fourier Transform and Ulam Stability of Fractional Differential Equation with Fractional Caputo-Type Derivative

Published:2022-09-06 Issue: Volume:2022 Page:1-5
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Selvam Arunachalam¹^ORCID,Sabarinathan Sriramulu¹^ORCID,Noeiaghdam Samad²³^ORCID,Govindan Vediyappan⁴^ORCID

Affiliation:

1. Department of Mathematics, SRM Institute of Science & Technology, Kattankulathur, 603 203 Tamil Nadu, India

2. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk 664074, Russia

3. Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, Chelyabinsk 454080, Russia

4. Department of Mathematics, Dmi St John the Baptist University, 800-Central Africa, Malawi

Abstract

In this paper, we study the Ulam-Hyers-Mittag-Leffler stability for a linear fractional order differential equation with a fractional Caputo-type derivative using the fractional Fourier transform. Finally, we provide an enumeration of the chemical reactions of the differential equation.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/3777566.pdf

Reference28 articles.

1. Further results on fractional calculus of Srivastava polynomials;P. Agarwal;Bulletin of Mathematical Analysis and Applications,2011

2. On a new class of integrals involving Bessel functions of the first kind

3. Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain

4. The fractional Fourier transform;H. M. Ozaktas

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