Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
Joint Authors
Anwar, Abd al-Jawad K.
Murad, Shayma Adil
Source
General Letters in Mathematics
Issue
Vol. 12, Issue 2 (30 Jun. 2022), pp.85-95, 11 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2022-06-30
Country of Publication
Jordan
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order a ϵ (1,2].
The uniqueness result is proved via Banach's contraction mapping principle and the existence results are established by using the Schauder's fixed point theorem.
Furthermore, the Ulam-Hyers and Ulam-Hyers-Rassias stability of the proposed equation is employed.
Some examples are given to illustrate the results.
American Psychological Association (APA)
Anwar, Abd al-Jawad K.& Murad, Shayma Adil. 2022. Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations. General Letters in Mathematics،Vol. 12, no. 2, pp.85-95.
https://search.emarefa.net/detail/BIM-1437682
Modern Language Association (MLA)
Anwar, Abd al-Jawad K.& Murad, Shayma Adil. Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations. General Letters in Mathematics Vol. 12, no. 2 (2022), pp.85-95.
https://search.emarefa.net/detail/BIM-1437682
American Medical Association (AMA)
Anwar, Abd al-Jawad K.& Murad, Shayma Adil. Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations. General Letters in Mathematics. 2022. Vol. 12, no. 2, pp.85-95.
https://search.emarefa.net/detail/BIM-1437682
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 94-95
Record ID
BIM-1437682
