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Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations

Publish Year: 1392
Type: Journal paper
Language: English
View: 183

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Document National Code:

JR_CMDE-1-2_004

Index date: 6 March 2023

Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations abstract

In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equationint_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function g, under the generalized Lipschitz and Caratheodory conditions.

Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations Keywords:

Fractional hybrid differential equations , Distributed order , Extremal solutions , Banach algebra

Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations authors

Hossein Noroozi

Shahrekord University

Alireza Ansari

Shahrekord University

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