Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equationsReport as inadecuate




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Boundary Value Problems

, 2014:253

First Online: 09 December 2014Received: 03 August 2014Accepted: 24 November 2014

Abstract

In this paper, we introduce a new class of boundary value problems consisting of a fractional differential equation of Riemann-Liouville type, D q R L x t = f t , x t Open image in new window, t ∈ 0 , T Open image in new window, subject to the Hadamard fractional integral conditions x 0 = 0 Open image in new window, x T = ∑ i = 1 n α i H I p i x η i Open image in new window. Existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating the results obtained are also presented.

MSC: 34A08, 34B15.

KeywordsRiemann-Liouville fractional derivative Hadamard fractional integral existence uniqueness fixed point theorems  Download fulltext PDF



Author: Jessada Tariboon - Sotiris K Ntouyas - Weerawat Sudsutad

Source: https://link.springer.com/







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