Weak Solutions of Fractional Order Differential Equations via Volterra-Stieltjes Integral Operator
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
The fractional derivative of the Riemann-Liouville and Caputo types played an important role in the development of the theory of fractional derivatives, integrals and for its applications in pure mathematics ([18], [21]). In this paper, we study the existence of weak solutions for fractional differential equations of Riemann-Liouville and Caputo types. We depend on converting of the mentioned equations to the form of functional integral equations of Volterra-Stieltjes type in reflexive Banach spaces.
Authors and Affiliations
Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, A. A. H. Abd El-Mowla
Keywords
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