Existence and Mittag-Leffler-Ulam-Stability results of sequential fractional hybrid pantograph equations-Reference-Cited by-同舟云学术

Existence and Mittag-Leffler-Ulam-Stability results of sequential fractional hybrid pantograph equations

Published:2023 Issue:20 Volume:37 Page:6891-6903
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Houas Mohamed¹,Abbas Mohamed²,Martínez Francisco³

Affiliation:

1. Laboratory FIMA, UDBKM, Khemis Miliana university, Algeria

2. Department of Mathematics and Computer Science, Faculty of Science, Alexandria University, Alexandria, Egypt

3. Department of Applied Mathematics and Statistics, Technological University of Cartagena, Cartagena, Spain

Abstract

In this present work, the existence and uniqueness of solutions for fractional pantograph differential equations involving Riemann-Liouville and Caputo fractional derivatives are established by applying contraction mapping principle and Leray-Schauder?s alternative. The Mittag-Leffler-Ulam stability results are also obtained via generalized singular Gronwall?s inequality. Finally, we give an illustrative example.

Publisher

National Library of Serbia

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