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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Auteurs principaux:	Rabhi Lahcene, Al Horani Mohammed, Khalil Roshdi
Format:	article
Langue:	EN
Publié:	De Gruyter 2021
Sujets:	α-semigroup of operators conformable derivative inhomogeneous cauchy problem 34g10 26a33 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/54e70d5000404728a6915d33a5935ff7
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id	oai:doaj.org-article:54e70d5000404728a6915d33a5935ff7
record_format	dspace
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
_version_	1718371604043399168

Inhomogeneous conformable abstract Cauchy problem

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