Open AccessUniqueness and existence of solutions for nonlinear fractional differential equations with two fractional orders
Author(s) -
Mohamed Houas,
AUTHOR_ID,
Zoubir Dahmani,
Erhan Set,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2021
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2021.2.11
Subject(s) - uniqueness , mathematics , fixed point theorem , nonlinear system , schauder fixed point theorem , picard–lindelöf theorem , mathematical analysis , fractional calculus , banach fixed point theorem , differential equation , degree (music) , banach space , physics , quantum mechanics , acoustics
We study the existence and uniqueness of solutions for integro-differential equations involving two fractional orders. By using the Banach’s fixed point theorem, Leray-Schauder’s nonlinear alternative and Leray-Schauder’s degree theory, the existence and uniqueness of solutions are obtained. Some illustrative examples are also presented.