basic results on distributed order fractional hybrid differential equations with linear perturbations
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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 modelingPublisher: university of guilan
ISSN 2345-394X
volume 2
issue 1 2014
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