@article {
author = {Noroozi, Hossein and Ansari, Alireza},
title = {Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations},
journal = {Computational Methods for Differential Equations},
volume = {1},
number = {2},
pages = {120-134},
year = {2013},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {},
abstract = {In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$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.},
keywords = {Fractional hybrid differential equations,Distributed order,Extremal solutions,Banach algebra},
url = {https://cmde.tabrizu.ac.ir/article_597.html},
eprint = {https://cmde.tabrizu.ac.ir/article_597_aec82c22b058d25675f6cd533c9fac23.pdf}
}