Fractional semilinear equations with causal operators

Ravi P. Agarwal; Asma; Vasile Lupulescu; Donal O’Regan

doi:10.1007/s13398-016-0292-4

Fractional semilinear equations with causal operators

Ravi P. Agarwal, Asma, Vasile Lupulescu, Donal O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

Abstract

In this paper we present an existence result for causal functional evolution equations. The result is obtained using the Schauder fixed point theorem. An application to partial differential equations is given to illustrate our main result.

Original language	English
Pages (from-to)	257-269
Number of pages	13
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	111
Issue number	1
DOIs	https://doi.org/10.1007/s13398-016-0292-4
Publication status	Published - 1 Jan 2017

Keywords

Caputo fractional derivative
Causal operator
Evolution equation
Initial value problem

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10.1007/s13398-016-0292-4

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title = "Fractional semilinear equations with causal operators",

abstract = "In this paper we present an existence result for causal functional evolution equations. The result is obtained using the Schauder fixed point theorem. An application to partial differential equations is given to illustrate our main result.",

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AU - Asma,

AU - Lupulescu, Vasile

AU - O’Regan, Donal

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N2 - In this paper we present an existence result for causal functional evolution equations. The result is obtained using the Schauder fixed point theorem. An application to partial differential equations is given to illustrate our main result.

AB - In this paper we present an existence result for causal functional evolution equations. The result is obtained using the Schauder fixed point theorem. An application to partial differential equations is given to illustrate our main result.

KW - Caputo fractional derivative

KW - Causal operator

KW - Evolution equation

KW - Initial value problem

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DO - 10.1007/s13398-016-0292-4

M3 - Article

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VL - 111

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EP - 269

JO - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

JF - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

IS - 1

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Fractional semilinear equations with causal operators

Abstract

Keywords

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