A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions

Khaled M. Furati

doi:10.1016/j.camwa.2013.01.044

A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions

Khaled M. Furati^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A Cauchy-type nonlinear problem for a class of fractional differential equations involving sequential derivatives is considered. Some properties and composition identities are derived. The equivalence with the associated integral equation is established. The existence and uniqueness of global solutions in the space of Lebesgue integrable functions are proved.

Original language	English
Pages (from-to)	883-891
Number of pages	9
Journal	Computers and Mathematics with Applications
Volume	66
Issue number	5
DOIs	https://doi.org/10.1016/j.camwa.2013.01.044
State	Published - Sep 2013

Keywords

Fractional derivatives
Fractional differential equation
Riemann-Liouville fractional derivative
Sequential fractional derivative

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2013.01.044

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title = "A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions",

abstract = "A Cauchy-type nonlinear problem for a class of fractional differential equations involving sequential derivatives is considered. Some properties and composition identities are derived. The equivalence with the associated integral equation is established. The existence and uniqueness of global solutions in the space of Lebesgue integrable functions are proved.",

keywords = "Fractional derivatives, Fractional differential equation, Riemann-Liouville fractional derivative, Sequential fractional derivative",

author = "Furati, \{Khaled M.\}",

year = "2013",

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AU - Furati, Khaled M.

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N2 - A Cauchy-type nonlinear problem for a class of fractional differential equations involving sequential derivatives is considered. Some properties and composition identities are derived. The equivalence with the associated integral equation is established. The existence and uniqueness of global solutions in the space of Lebesgue integrable functions are proved.

AB - A Cauchy-type nonlinear problem for a class of fractional differential equations involving sequential derivatives is considered. Some properties and composition identities are derived. The equivalence with the associated integral equation is established. The existence and uniqueness of global solutions in the space of Lebesgue integrable functions are proved.

KW - Fractional derivatives

KW - Fractional differential equation

KW - Riemann-Liouville fractional derivative

KW - Sequential fractional derivative

UR - https://www.scopus.com/pages/publications/84881481926

U2 - 10.1016/j.camwa.2013.01.044

DO - 10.1016/j.camwa.2013.01.044

M3 - Article

AN - SCOPUS:84881481926

SN - 0898-1221

VL - 66

SP - 883

EP - 891

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5

ER -

A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions

Abstract

Keywords

ASJC Scopus subject areas

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