Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation

Abstract In this paper, we establish the existence and a global attractivity results for a nonlinear mixed quadratic and linearly perturbed hybrid fractional integrodifferential equation of second type involving the Caputo fractional derivative on unbounded intervals of real line with the mixed argu...

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Autor principal:	Dhage,Bapurao C.
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	Hybrid fractional integrodifferential equation Dhage fixed point theorem Existence theorem Attractivity of solutions Asymptotic stability
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300325
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spelling	oai:scielo:S0719-064620200003003252020-12-30Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and RetardationDhage,Bapurao C. Hybrid fractional integrodifferential equation Dhage fixed point theorem Existence theorem Attractivity of solutions Asymptotic stability Abstract In this paper, we establish the existence and a global attractivity results for a nonlinear mixed quadratic and linearly perturbed hybrid fractional integrodifferential equation of second type involving the Caputo fractional derivative on unbounded intervals of real line with the mixed arguments of anticipations and retardation. The hybrid fixed point theorem of Dhage is used in the analysis of our nonlinear fractional integrodifferential problem. A positivity result is also obtained under certain usual natural conditions. Our hypotheses and claims have also been explained with the help of a natural realization.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.3 20202020-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300325en10.4067/S0719-06462020000300325
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Hybrid fractional integrodifferential equation Dhage fixed point theorem Existence theorem Attractivity of solutions Asymptotic stability
spellingShingle	Hybrid fractional integrodifferential equation Dhage fixed point theorem Existence theorem Attractivity of solutions Asymptotic stability Dhage,Bapurao C. Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
description	Abstract In this paper, we establish the existence and a global attractivity results for a nonlinear mixed quadratic and linearly perturbed hybrid fractional integrodifferential equation of second type involving the Caputo fractional derivative on unbounded intervals of real line with the mixed arguments of anticipations and retardation. The hybrid fixed point theorem of Dhage is used in the analysis of our nonlinear fractional integrodifferential problem. A positivity result is also obtained under certain usual natural conditions. Our hypotheses and claims have also been explained with the help of a natural realization.
author	Dhage,Bapurao C.
author_facet	Dhage,Bapurao C.
author_sort	Dhage,Bapurao C.
title	Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
title_short	Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
title_full	Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
title_fullStr	Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
title_full_unstemmed	Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation
title_sort	existence and attractivity theorems for nonlinear hybrid fractional integrodifferential equations with anticipation and retardation
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300325
work_keys_str_mv	AT dhagebapuraoc existenceandattractivitytheoremsfornonlinearhybridfractionalintegrodifferentialequationswithanticipationandretardation
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Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation

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