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...

Full description

Bibliographic Details
Main Authors:	Rabhi Lahcene, Al Horani Mohammed, Khalil Roshdi
Format:	Article
Language:	English
Published:	De Gruyter 2021-07-01
Series:	Open Mathematics
Subjects:	α-semigroup of operators conformable derivative inhomogeneous cauchy problem 34g10 26a33
Online Access:	https://doi.org/10.1515/math-2021-0064

id	doaj-54e70d5000404728a6915d33a5935ff7
record_format	Article
spelling	doaj-54e70d5000404728a6915d33a5935ff72021-10-03T07:42:36ZengDe GruyterOpen Mathematics2391-54552021-07-0119169070510.1515/math-2021-0064Inhomogeneous conformable abstract Cauchy problemRabhi Lahcene0Al Horani Mohammed1Khalil Roshdi2Department of Mathematics, The University of Jordan, Amman, JordanDepartment of Mathematics, The University of Jordan, Amman, JordanDepartment of Mathematics, The University of Jordan, Amman, JordanIn 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.https://doi.org/10.1515/math-2021-0064α-semigroup of operatorsconformable derivativeinhomogeneous cauchy problem34g1026a33
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rabhi Lahcene Al Horani Mohammed Khalil Roshdi
spellingShingle	Rabhi Lahcene Al Horani Mohammed Khalil Roshdi Inhomogeneous conformable abstract Cauchy problem Open Mathematics α-semigroup of operators conformable derivative inhomogeneous cauchy problem 34g10 26a33
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
series	Open Mathematics
issn	2391-5455
publishDate	2021-07-01
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.
topic	α-semigroup of operators conformable derivative inhomogeneous cauchy problem 34g10 26a33
url	https://doi.org/10.1515/math-2021-0064
work_keys_str_mv	AT rabhilahcene inhomogeneousconformableabstractcauchyproblem AT alhoranimohammed inhomogeneousconformableabstractcauchyproblem AT khalilroshdi inhomogeneousconformableabstractcauchyproblem
_version_	1716846030446657536

Inhomogeneous conformable abstract Cauchy problem

Similar Items