Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations

Bapurao C. Dhage; John R. Graef; Shyam B. Dhage

doi:10.56754/0719-0646.2501.023

DOI:

https://doi.org/10.56754/0719-0646.2501.023

Abstract

Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage. The results are illustrated with examples.

Keywords

Fractional differential equation , Asymptotic characterization of solution , Fixed point principle , Existence and stability theorem

Mathematics Subject Classification:

34A08 , 34A12 , 47H10

Bapurao C. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist. Latur, Maharashtra, India. https://orcid.org/0000-0002-2353-8618
John R. Graef Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA. https://orcid.org/0000-0002-8149-4633
Shyam B. Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist. Latur, Maharashtra, India. https://orcid.org/0000-0003-4605-5421

Pages: 23–36
Date Published: 2023-04-24
Vol. 25 No. 1 (2023)

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