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Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions
Journal article   Open access  Peer reviewed

Nonlinear Hadamard fractional differential equations with Hadamard type nonlocal non-conserved conditions

Ahmed Alsaedi, Sotiris K. Ntouyas, Bashir Ahmad and Aatef Hobiny
Advances in difference equations, Vol.2015(1), pp.1-13
15/09/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we discuss the existence and uniqueness of solutions for a boundary value problem of nonlinear Hadamard fractional differential equations and nonlocal non-conserved boundary conditions in terms of Hadamard integral. Our results are new in the present configuration and are based on some classical ideas of fixed point theory. We present several examples for the illustration of main results. A companion problem has also been studied. The paper concludes with some interesting observations.
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https://doi.org/10.1186/s13662-015-0589-1View
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