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Nonlocal initial value problems for implicit differential equations with Hilfer-Hadamard fractional derivative
Journal article   Open access  Peer reviewed

Nonlocal initial value problems for implicit differential equations with Hilfer-Hadamard fractional derivative

Devaraj Vivek, Kuppusamy Kanagarajan, Elsayed M. Elsayed and Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science
Nonlinear analysis (Vilnius, Lithuania), Vol.23(3), pp.341-360
01/06/2018
DOI: https://doi.org/10.15388/NA.2018.3.4

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Science & Technology Technology
In this paper, the Schaefer's fixed-point theorem is used to investigate the existence of solutions to nonlocal initial value problems for implicit differential equations with Hilfer-Hadamard fractional derivative. Then the Ulam stability result is obtained by using Banach contraction principle. An example is given to illustrate the applications of the main result.
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https://doi.org/10.15388/NA.2018.3.4View
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