TY - JOUR
T1 - Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
AU - Al-Musalhi, Fatma
AU - Al-Salti, Nasser
AU - Karimov, Erkinjon
N1 - Publisher Copyright:
© 2018 Diogenes Co., Sofia.
PY - 2018/2/23
Y1 - 2018/2/23
N2 - 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.
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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U2 - 10.1515/fca-2018-0013
DO - 10.1515/fca-2018-0013
M3 - Article
AN - SCOPUS:85044303294
SN - 1311-0454
VL - 21
SP - 200
EP - 219
JO - Fractional Calculus and Applied Analysis
JF - Fractional Calculus and Applied Analysis
IS - 1
ER -