extremal positive solutions for the distributed order fractional hybrid differential equations

Authors

hossein noroozi

shahrekord university alireza ansari

shahrekord university

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.

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Journal title:
computational methods for differential equations

جلد ۱، شماره ۲، صفحات ۱۲۰-۱۳۴

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