Nonlocal initial value problems for differential equations with Hilfer fractional derivative

JinRong Wang and Yuruo Zhang

Applied Mathematics and Computation, 2015, vol. 266, issue C, 850-859

Abstract: In this paper, we discuss the existence of solutions to nonlocal initial value problem for differential equations with Hilfer fractional derivative. To begin with, we establish an equivalent mixed type integral equation for our problem. Then, we utilize basic properties of Hilfer fractional calculus and fixed point methods to derive three fundamental existence results in the weighted space of continuous functions. Some examples are given to illustrate our results.

Keywords: Nonlocal initial value problem; Differential equations; Hilfer fractional derivative; Existence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:266:y:2015:i:c:p:850-859

DOI: 10.1016/j.amc.2015.05.144

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