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arXiv · 2002.03778

Existence and Continuation of Solutions of Hilfer-Katugampola-Type Fractional Differential Equations

Ahmad Y. A. Salamooni·D. D. Pawar
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Abstract

This article contains a new discussion for the generalized fractional Cauchy-type problem involving Hilfer-Katugampola-type fractional derivative. We study an existence and continuation of its solution. Firstly, we establish a new theorems of local existence. Then, we deduce a continuation theorems for a general fractional differential equations. By applying continuation theorems deduced in this article, we present several global existence results. Moreover, the examples are given to illustrate our main results.

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Ahmad Y. A. Salamooni, D. D. Pawar. 2020-02-01. Existence and Continuation of Solutions of Hilfer-Katugampola-Type Fractional Differential Equations. https://arxiv.org/abs/2002.03778

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