Uniqueness and existence of solutions for nonlinear fractional differential equations with two fractional orders | Zendy

Mohamed Houas | Zendy; Zoubir Dahmani | Zendy; Erhan Set | Zendy

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Uniqueness and existence of solutions for nonlinear fractional differential equations with two fractional orders

Author(s) -

Mohamed Houas,

Zoubir Dahmani,

Erhan Set

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 , picard–lindelöf theorem , mathematical analysis , fractional calculus , schauder fixed point theorem , banach fixed point theorem , banach space , differential equation , pure mathematics , physics , quantum mechanics

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.

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