EXISTENCE RESULTS FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDERS

A. M. A. El-Sayed; H. H. G. Hashem

doi:10.18514/mmn.2013.578

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EXISTENCE RESULTS FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDERS

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EXISTENCE RESULTS FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDERS

A. M. A. El-Sayed and H. H. G. Hashem

Mathematical notes (Miskolci Egyetem (Hungary)), Vol.14(1), pp.79-88

01/01/2013

DOI: https://doi.org/10.18514/mmn.2013.578

Abstract

Mathematics

Physical Sciences

Science & Technology

We present an existence theorem for at least one continuous solution for a nonlinear quadratic functional integral equation of fractional (arbitrary) order. Also, we prove the existence of maximal and minimal solutions for that equations.

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Title: EXISTENCE RESULTS FOR NONLINEAR QUADRATIC FUNCTIONAL INTEGRAL EQUATIONS OF FRACTIONAL ORDERS
Creators - without role: A. M. A. El-Sayed - Univ Alexandria, Fac Sci, Dept Math, Alexandria, Egypt
H. H. G. Hashem - Univ Alexandria, Fac Sci, Dept Math, Alexandria, Egypt
Publication Details: Mathematical notes (Miskolci Egyetem (Hungary)), Vol.14(1), pp.79-88
Publisher: Univ Miskolc Inst Math
Number of pages: 10
Identifiers: 9928419708331
Academic Unit: Qassim University
Language: English
Resource Type: Journal article