Inhomogeneous conformable abstract Cauchy problem

In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given. Existence, uniqueness and regularity of a mild solution for the conformab...

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Autores principales: Rabhi Lahcene, Al Horani Mohammed, Khalil Roshdi
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Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/54e70d5000404728a6915d33a5935ff7
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spelling oai:doaj.org-article:54e70d5000404728a6915d33a5935ff72021-12-05T14:10:53ZInhomogeneous conformable abstract Cauchy problem2391-545510.1515/math-2021-0064https://doaj.org/article/54e70d5000404728a6915d33a5935ff72021-07-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0064https://doaj.org/toc/2391-5455In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given. Existence, uniqueness and regularity of a mild solution for the conformable abstract Cauchy problem are studied. Applications illustrating our main abstract results are also given.Rabhi LahceneAl Horani MohammedKhalil RoshdiDe Gruyterarticleα-semigroup of operatorsconformable derivativeinhomogeneous cauchy problem34g1026a33MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 690-705 (2021)
institution DOAJ
collection DOAJ
language EN
topic α-semigroup of operators
conformable derivative
inhomogeneous cauchy problem
34g10
26a33
Mathematics
QA1-939
spellingShingle α-semigroup of operators
conformable derivative
inhomogeneous cauchy problem
34g10
26a33
Mathematics
QA1-939
Rabhi Lahcene
Al Horani Mohammed
Khalil Roshdi
Inhomogeneous conformable abstract Cauchy problem
description In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given. Existence, uniqueness and regularity of a mild solution for the conformable abstract Cauchy problem are studied. Applications illustrating our main abstract results are also given.
format article
author Rabhi Lahcene
Al Horani Mohammed
Khalil Roshdi
author_facet Rabhi Lahcene
Al Horani Mohammed
Khalil Roshdi
author_sort Rabhi Lahcene
title Inhomogeneous conformable abstract Cauchy problem
title_short Inhomogeneous conformable abstract Cauchy problem
title_full Inhomogeneous conformable abstract Cauchy problem
title_fullStr Inhomogeneous conformable abstract Cauchy problem
title_full_unstemmed Inhomogeneous conformable abstract Cauchy problem
title_sort inhomogeneous conformable abstract cauchy problem
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/54e70d5000404728a6915d33a5935ff7
work_keys_str_mv AT rabhilahcene inhomogeneousconformableabstractcauchyproblem
AT alhoranimohammed inhomogeneousconformableabstractcauchyproblem
AT khalilroshdi inhomogeneousconformableabstractcauchyproblem
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