basic results on distributed order fractional hybrid differential equations with linear perturbations

Authors

hossein noroozi

alireza ansari

abstract

in this article, we develop the distributed order fractional hybrid differential equations (dofhdes) with linear perturbations involving the fractional riemann-liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-lipschitz and caratheodory conditions. some basic fractional differential inequalities of distributed order are utilized to prove the existence of extremal solutions and comparison principle

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Journal title:
journal of mathematical modeling

Publisher: university of guilan

ISSN 2345-394X

volume 2

issue 1 2014

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