Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with sever...

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Main Authors: G. M. N’Guérékata, Marko Kostić
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/5947393
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author G. M. N’Guérékata
Marko Kostić
author_facet G. M. N’Guérékata
Marko Kostić
author_sort G. M. N’Guérékata
collection DOAJ
description The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
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institution Kabale University
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spelling doaj-art-00fe94511c5d4ed5a7990365e151e6ec2025-02-03T06:08:02ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/59473935947393Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential InclusionsG. M. N’Guérékata0Marko Kostić1Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USAFaculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, SerbiaThe main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.http://dx.doi.org/10.1155/2018/5947393
spellingShingle G. M. N’Guérékata
Marko Kostić
Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions
Abstract and Applied Analysis
title Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions
title_full Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions
title_fullStr Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions
title_full_unstemmed Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions
title_short Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions
title_sort generalized asymptotically almost periodic and generalized asymptotically almost automorphic solutions of abstract multiterm fractional differential inclusions
url http://dx.doi.org/10.1155/2018/5947393
work_keys_str_mv AT gmnguerekata generalizedasymptoticallyalmostperiodicandgeneralizedasymptoticallyalmostautomorphicsolutionsofabstractmultitermfractionaldifferentialinclusions
AT markokostic generalizedasymptoticallyalmostperiodicandgeneralizedasymptoticallyalmostautomorphicsolutionsofabstractmultitermfractionaldifferentialinclusions