Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations

Bashir Ahmad

doi:10.1016/j.aml.2009.11.004

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$Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations$

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Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations

Bashir Ahmad

Applied mathematics letters, Vol.23(4), pp.390-394

01/04/2010

DOI: https://doi.org/10.1016/j.aml.2009.11.004

Abstract

Existence

Fixed point theorem

Irregular boundary conditions

Nonlinear fractional differential equations

In this paper, we present some new existence and uniqueness results for nonlinear fractional differential equations of order q ∈ ( 1 , 2 ] with irregular boundary conditions in a Banach space. Our results are based on the contraction mapping principle and Krasnoselskii’s fixed point theorem.

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Title: Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations
Creators - without role: Bashir Ahmad - King Abdulaziz University
Publication Details: Applied mathematics letters, Vol.23(4), pp.390-394
Publisher: Elsevier Ltd
Identifiers: 9937930608331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article