Existence of Solutions for Nonlinear Fractional Differential Equations and Inclusions Depending on Lower-Order Fractional Derivatives

Autor:	Subramanian Muthaiah, Dumitru Baleanu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	single-valued map multi-valued map Caputo derivative generalized Riemann–Liouville integral Mathematics QA1-939
Zdroj:	Axioms, Vol 9, Iss 2, p 44 (2020)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms9020044
Popis:	This article deals with the solutions of the existence and uniqueness for a new class of boundary value problems (BVPs) involving nonlinear fractional differential equations (FDEs), inclusions, and boundary conditions involving the generalized fractional integral. The nonlinearity relies on the unknown function and its fractional derivatives in the lower order. We use fixed-point theorems with single-valued and multi-valued maps to obtain the desired results, through the support of illustrations, the main results are well explained. We also address some variants of the problem.
Databáze:	Directory of Open Access Journals
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