Fractional differential equations with maxima on time scale via Picard operators-Reference-Cited by-同舟云学术

Fractional differential equations with maxima on time scale via Picard operators

Published:2023 Issue:2 Volume:37 Page:393-402
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Karapınar Erdal¹,Benkhettou Nadia²,Lazreg Jamal²,Benchohra Mouffak²

Affiliation:

1. Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City, Binh Duong Province, Vietnam + Department of Mathematics, Çankaya University, Etimesgut, Ankara, Turkey + Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

2. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel Abbes, Algeria

Abstract

In this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo?s fractional order on the time scales: c??a u(?) = ?(?, u(?), max ??[a,?] u(?)), ? ? J := [a, b]T, 0 < ? ? 1, u(a) = ?, We used the techniques of the Picard and weakly Picard operators to obtain some data dependency on the parameters results.

Publisher

National Library of Serbia

Subject

General Mathematics

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