Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra

Ahmed El-Sayed; Hind Hashem

doi:10.2478/s13540-013-0051-6

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$Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra$

Journal article

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Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra

Ahmed El-Sayed and Hind Hashem

Fractional calculus & applied analysis, Vol.16(4), pp.816-826

01/12/2013

DOI: https://doi.org/10.2478/s13540-013-0051-6

Abstract

Mathematics

Mathematics, Applied

Mathematics, Interdisciplinary Applications

Physical Sciences

Science & Technology

We present an existence theorem for at least one continuous solution for a nonlinear quadratic functional integral equation of fractional order. Also, a general quadratic integral of fractional order will be considered.

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Title: Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra
Creators - without role: Ahmed El-Sayed - Univ Alexandria, Fac Sci, Alexandria, Egypt
Hind Hashem - Qassim University
Publication Details: Fractional calculus & applied analysis, Vol.16(4), pp.816-826
Publisher: Walter De Gruyter
Number of pages: 11
Identifiers: 9928062508331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article