Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Advances in the Theory of Nonlinear Analysis and its Application
Volume:5 Issue:2
Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions

Authors : Naas ADJİMİ, Maamar BENBACHIR

Pages : 215-228

Doi:10.31197/atnaa.711191

View : 13 | Download : 10

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach`s contraction principle, nonlinear contractions, Krasnoselskii`s and Leray-Schauder`s fixed theorems. Four examples are given in order to clarify theoretical results.
Keywords : Katugampola Fractional Derivative, Erdelyi Kober Fractional integral, Boundary value problem, fixed point theorem

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.