On Some Qualitative Properties of Integrable Solutions for Cauchy-type Problem of Fractional Order
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
The paper discusses the existence of solutions for Cauchy-type problem of fractional order in the space of Lebesgue integrable functions on bounded interval. Some qualitative properties of solutions are presented such as monotonicity, uniqueness and continuous dependence on the initial data. The main tools used are measure of weak (strong) noncompactness, Darbo fixed point theorem and fractional calculus.
Authors and Affiliations
Mohamed M. A. Metwali
Keywords
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