Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

Fatma Al-Musalhi; Nasser Al-Salti; Erkinjon Karimov

doi:10.1515/fca-2018-0013

Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

Fatma Al-Musalhi, Nasser Al-Salti, Erkinjon Karimov

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

23 Citations (Scopus)

Abstract

Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansions and results on existence and uniqueness are established. To solve the resultant equations, a solution to such kind of non-homogeneous fractional differential equation is also presented.

Original language	English
Pages (from-to)	200-219
Number of pages	20
Journal	Fractional Calculus and Applied Analysis
Volume	21
Issue number	1
DOIs	https://doi.org/10.1515/fca-2018-0013
Publication status	Published - Feb 23 2018

Keywords

Erdélyi-Kober fractional order operators
Mittag-Leffler functions
fractional differential equations
hyper-Bessel operators
initial boundary value problems
inverse problems
series solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1515/fca-2018-0013

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abstract = "Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansions and results on existence and uniqueness are established. To solve the resultant equations, a solution to such kind of non-homogeneous fractional differential equation is also presented.",

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AU - Al-Salti, Nasser

AU - Karimov, Erkinjon

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Y1 - 2018/2/23

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AB - Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansions and results on existence and uniqueness are established. To solve the resultant equations, a solution to such kind of non-homogeneous fractional differential equation is also presented.

KW - Erdélyi-Kober fractional order operators

KW - Mittag-Leffler functions

KW - fractional differential equations

KW - hyper-Bessel operators

KW - initial boundary value problems

KW - inverse problems

KW - series solutions

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Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

Abstract

Keywords

ASJC Scopus subject areas

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