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Existence results for nonlinear fractional differential equations with integral initial value conditions involving Hilfer fractional derivatives
  • Yu-bo HE,
  • Jue-liang ZHOU,
  • Hongchao Qian
Yu-bo HE
Huaihua University

Corresponding Author:[email protected]

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Jue-liang ZHOU
Central South University School of Mathematics and Statistics
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Hongchao Qian
Central South University School of Mathematics and Statistics
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Abstract

In this paper, we consider the existence results for nonlinear Hilfer fractional differential equations with integral initial value conditions on finite interval [0 ,T]. Sufficient conditions for the existence of solution for the initial value problem are obtained by Schaefer’s fixed point theorem in constructed Banach Space.