{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T07:22:25Z","timestamp":1778311345595,"version":"3.51.4"},"reference-count":24,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Communications in Nonlinear Science and Numerical Simulation"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.cnsns.2026.109789","type":"journal-article","created":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T16:05:15Z","timestamp":1769875515000},"page":"109789","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["Analysis of semilinear fractional integro-differential equations governed by compact semigroups"],"prefix":"10.1016","volume":"158","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3816-5287","authenticated-orcid":false,"given":"Mohammad H.M.","family":"Rashid","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.cnsns.2026.109789_bib0001","series-title":"Fractals and fractional calculus in continuum mechanics","first-page":"291","article-title":"Fractional calculus: some basic problems in continuum and statistical mechanics","author":"Mainardi","year":"1997"},{"key":"10.1016\/j.cnsns.2026.109789_bib0002","series-title":"An introduction to the fractional calculus and fractional differential equations","author":"Miller","year":"1993"},{"issue":"3","key":"10.1016\/j.cnsns.2026.109789_bib0003","first-page":"538","article-title":"A survey on recent results of fractional differential equations with applications","volume":"10","author":"Wang","year":"2022","journal-title":"Mathematics"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109789_bib0004","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1111\/j.1365-246X.1967.tb02303.x","article-title":"Linear models of dissipation whose q is almost frequency independent","volume":"13","author":"Caputo","year":"1967","journal-title":"J R Astron Soc"},{"key":"10.1016\/j.cnsns.2026.109789_bib0005","first-page":"128","article-title":"Existence and uniqueness of mild solutions for semilinear fractional integro-differential equations with non-instantaneous impulses","volume":"465","author":"Zhang","year":"2024","journal-title":"Appl Math Comput"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109789_bib0006","first-page":"189","article-title":"Controllability for fractional evolution inclusions with compact semigroups","volume":"52","author":"Zhou","year":"2023","journal-title":"Control Cybern"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109789_bib0007","first-page":"126","article-title":"Asymptotic behavior of solutions to fractional integro-differential equations with delay","volume":"515","author":"Cuevas","year":"2022","journal-title":"J Math Anal Appl"},{"key":"10.1016\/j.cnsns.2026.109789_bib0008","first-page":"107","article-title":"Finite-time stability of fractional integro-differential equations with time delay","volume":"118","author":"Liu","year":"2023","journal-title":"Commun Nonlinear Sci Numer Simul"},{"issue":"4","key":"10.1016\/j.cnsns.2026.109789_bib0009","first-page":"507","article-title":"Semilinear integro-differential equations with compact semigroup","volume":"11","author":"Bahuguna","year":"1998","journal-title":"J Appl Math Stochastic Anal"},{"key":"10.1016\/j.cnsns.2026.109789_bib0010","series-title":"Nonlinear integral equations in abstract spaces","author":"Guo","year":"1996"},{"key":"10.1016\/j.cnsns.2026.109789_bib0011","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/S0045-7825(98)00108-X","article-title":"Approximate analytical solution for seepage flow with fractional derivatives","volume":"167","author":"He","year":"1998","journal-title":"Comput Methods Appl Mech Eng"},{"key":"10.1016\/j.cnsns.2026.109789_bib0012","series-title":"Foundation of modern analysis","author":"Dieudonne","year":"1960"},{"key":"10.1016\/j.cnsns.2026.109789_bib0013","first-page":"19","article-title":"A continuous differential equation in Hilbert space without existence","volume":"12","author":"Yorke","year":"1970","journal-title":"Funkcialaj Ekvacioj"},{"key":"10.1016\/j.cnsns.2026.109789_bib0014","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/0022-0396(88)90023-X","article-title":"A semilinear parabolic integro-differential equation","volume":"71","author":"Heard","year":"1988","journal-title":"J Differ Equations"},{"issue":"1","key":"10.1016\/j.cnsns.2026.109789_bib0015","first-page":"255","article-title":"Existence results for fractional integro-differential equations with nonlocal conditions via measures of noncompactness","volume":"26","author":"Ahmad","year":"2023","journal-title":"Fract Calculus Appl Anal"},{"key":"10.1016\/j.cnsns.2026.109789_bib0016","first-page":"115","article-title":"Numerical methods for fractional integro-differential equations: a comparative study","volume":"425","author":"Kumar","year":"2023","journal-title":"J Comput Appl Math"},{"issue":"12","key":"10.1016\/j.cnsns.2026.109789_bib0017","doi-asserted-by":"crossref","first-page":"12293","DOI":"10.1016\/j.aej.2022.06.021","article-title":"An analysis on approximate controllability of semilinear control systems with impulsive effects","volume":"61","author":"Shukla","year":"2022","journal-title":"Alexandria Eng J"},{"issue":"11","key":"10.1016\/j.cnsns.2026.109789_bib0018","doi-asserted-by":"crossref","DOI":"10.1002\/mma.8198","article-title":"A note on approximate controllability of second-order neutral stochastic delay integro-differential evolution inclusions with impulses","volume":"45","author":"Sivasankar","year":"2022","journal-title":"Math Methods Appl Sci"},{"issue":"2","key":"10.1016\/j.cnsns.2026.109789_bib0019","doi-asserted-by":"crossref","first-page":"271","DOI":"10.3934\/eect.2020066","article-title":"On the approximate controllability of neutral integro-differential inclusions of sobolev-type with infinite delay","volume":"10","author":"Vijayakumar","year":"2021","journal-title":"Evol Equations Control Theory"},{"key":"10.1016\/j.cnsns.2026.109789_bib0020","first-page":"105","article-title":"Finite-time stability of fractional delay integro-differential equations via Lyapunov method","volume":"168","author":"Li","year":"2022","journal-title":"Syst Control Lett"},{"issue":"12","key":"10.1016\/j.cnsns.2026.109789_bib0021","doi-asserted-by":"crossref","first-page":"6276","DOI":"10.1016\/j.na.2009.06.035","article-title":"Semilinear fractional integro-differential equations with compact semigroup","volume":"71","author":"Rashid","year":"2009","journal-title":"Nonlinear Anal. Theory, Methods Appl"},{"key":"10.1016\/j.cnsns.2026.109789_bib0022","series-title":"Fractional integrals and derivatives: theory and applications","author":"Samko","year":"1993"},{"key":"10.1016\/j.cnsns.2026.109789_bib0023","series-title":"Semigroups of linear operators and applications to partial differential equations","author":"Pazy","year":"1983"},{"key":"10.1016\/j.cnsns.2026.109789_bib0024","doi-asserted-by":"crossref","DOI":"10.1155\/JIA\/2006\/84561","article-title":"An impulsive nonlinear singular version of the gronwall-bihari inequality","author":"Tatar","year":"2006","journal-title":"J Inequal Appl"}],"container-title":["Communications in Nonlinear Science and Numerical Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426001504?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1007570426001504?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T20:35:54Z","timestamp":1776890154000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1007570426001504"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":24,"alternative-id":["S1007570426001504"],"URL":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109789","relation":{},"ISSN":["1007-5704"],"issn-type":[{"value":"1007-5704","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Analysis of semilinear fractional integro-differential equations governed by compact semigroups","name":"articletitle","label":"Article Title"},{"value":"Communications in Nonlinear Science and Numerical Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.cnsns.2026.109789","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"109789"}}