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

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

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 principl...

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Bibliographic Details
Main Authors: Devaraj Vivek, Kuppusamy Kanagarajan, Elsayed M. Elsayed
Format: Article
Language:English
Published: Vilnius University Press 2018-06-01
Series:Nonlinear Analysis
Subjects:
Hilfer–Hadamard fractional derivative
implicit differential equations
fixed point
generalized Ulam–Hyers stability
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13190

Internet

http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13190

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