Existence result for a fractional differential equation involving a special derivative-Reference-Cited by-同舟云学术

Existence result for a fractional differential equation involving a special derivative

Published:2022-01-01 Issue:1 Volume:8 Page:67-77
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Beddani Moustafa¹,Hedia Benaouda²

Affiliation:

1. Department of Mathematics , Djillali Liabes University of Sidi Bel-Abbès , P.O. Box 89, Sidi Bel-Abbès 22000 , Algeria

2. Laboratory of Mathematics , University of Tiaret , PO BOX 78, 14000 Tiaret , Algeria

Abstract

Abstract In this article, we establish certain sufficient conditions to show the existence of solutions of an initial value problem of fractional-ordinary differential equation in Banach space. Our approach is based on a combination of Mönch fixed point theorem and a suitable measure of non-compactness. Also an example is given to illustrate our approach.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2022-0006

Reference20 articles.

1. [1] R. P. Agarwal, M. Meehan, D. O’Regan, Fixed Point Theory and Applications, Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge (2001).

2. [2] R. R. Akhmerov, M. I. Kamenskii, A. S. Potapov, A. E Rodkina., B. N Sadovskii., Measures of Noncompactness and Condensing Operators, Birkhauser, Boston, Basel, Berlin (1992).10.1007/978-3-0348-5727-7

3. [3] A. Arara, M. Benchohra, N. Hamidi, J. J. Nieto, Fractional order differential equations on an unbounded domain, Nonlinear Anal., 72(2010), 580-586.10.1016/j.na.2009.06.106

4. [4] K. Balachandran, S. Kiruthika, J. J. Trujillo, Existence results for fractional impulsive integrodifferential equations in Banach spaces, Commun. Nonlinear Sci. Numer. Simul., 16(2011), 1970-1977.10.1016/j.cnsns.2010.08.005

5. [5] K. Balachandran, J. Y. Park, nonlocal Cauchy problem for abstract fractional semilinear evolution equations, Nonlinear Anal., 71(2009), 4471-4475.10.1016/j.na.2009.03.005

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