Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

Mohamed Jleli; Mokhtar Kirane; Bessem Samet

doi:10.1155/2017/5123240

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Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

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Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

Mohamed Jleli, Mokhtar Kirane and Bessem Samet

Discrete dynamics in nature and society, Vol.2017, pp.1-8

01/01/2017

DOI: https://doi.org/10.1155/2017/5123240

Abstract

We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function g . A Hartman-Wintner-type inequality is obtained for such problem. Next, several Lyapunov-type inequalities are deduced for different choices of the function g . Moreover, some applications to eigenvalue problems are presented.

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Title: Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function
Creators - without role: Mohamed Jleli - King Saud University
Mokhtar Kirane - University of La Rochelle
Bessem Samet - King Saud University
Publication Details: Discrete dynamics in nature and society, Vol.2017, pp.1-8
Identifiers: 9936842908331
Academic Unit: King Abdulaziz University; King Saud University
Language: English
Resource Type: Journal article