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Existence results for a general class of sequential hybrid fractional differential equations.

Authors :
Khan, Rahmat Ali
Gul, Shaista
Jarad, Fahd
Khan, Hasib
Source :
Advances in Difference Equations; 6/11/2021, Vol. 2021 Issue 1, p1-14, 14p
Publication Year :
2021

Abstract

In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear boundary conditions at both end points of the domain. The nonlinear functions involved depend explicitly on the fractional derivatives. We study the necessary conditions required for the unique solution to the suggested BVP under the Caratheodory conditions using the technique of measure of noncompactness and degree theory. We also develop conditions for uniqueness results and also on stability analysis. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871839
Volume :
2021
Issue :
1
Database :
Complementary Index
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
150853660
Full Text :
https://doi.org/10.1186/s13662-021-03444-3