Dynamics and Ulam Stability for Fractional q-Difference Inclusions via Picard Operators Theory

Author:

Abbas Saïd1,Benchohra Mouffak2,Karapınar Erdal3

Affiliation:

1. Department of Mathematics , University of Saïda–Dr. Moulay Tahar , P.O. Box 138, EN-Nasr, 20000 Saïda , Algeria

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

3. (1) Division of Applied Mathematics , Thu Dau Mot University , ; (2) Department of Mathematics , Çankaya University , 06790, Etimesgut , Ankara , Turkey . Email:erdalkarapinar@yahoo.com ; (3) Department of Medical Research , China Medical University Hospital, China Medical University , 40402 , Taichung , Taiwan Email:karapinar@mail.cmuh.org.tw

Abstract

Abstract In this manuscript, by using weakly Picard operators we investigate the Ulam type stability of fractional q-difference An illustrative example is given in the last section.

Publisher

Walter de Gruyter GmbH

Reference40 articles.

1. [1] S. Abbas, W.A. Albarakati, M. Benchohra and A. Petruşel, Existence and Ulam stability results for Hadamard partial fractional integral inclusions via Picard operators, Stud. Univ. Babeş-Bolyai Math., 61 (4) (2016), 409-420.

2. [2] S. Abbas, M. Benchohra and A. Petruşel, Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operator theory, Frac. Calc. Appl. Anal. 20 (2) (2017), 384-398.10.1515/fca-2017-0020

3. [3] S. Abbas, M. Benchohra and A. Petruşel, Ulam stabilities for partial fractional differential inclusions via Picard Operators, Electron. J. Qual. Theory Differ. Equ., 51 (2014), 1-13.10.14232/ejqtde.2014.1.51

4. [4] R. S. Adiguzel, U. Aksoy, E. Karapinar, İ.M. Erhan, On the solution of a boundary value problem associated with a fractional differential equation Mathematical Methods in the Applied Sciences, https://doi.org/10.1002/mma.665210.1002/mma.6652

5. [5] R. S. Adiguzel, U. Aksoy, E. Karapinar, İ.M. Erhan, On The Solutions of Fractional Differential Equations via Geraghty Type Hybrid Contractions, Appl. Comput. Math., V.20, N.2, 2021,

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