Existence Results of Fractional Mixed Volterra -Fredholm Integrodifferential Equations with Integral Boundary Conditions | Zendy

Sohaib Hasan | Zendy; Rabeea Mohammed Hani Darghoth | Zendy

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Existence Results of Fractional Mixed Volterra -Fredholm Integrodifferential Equations with Integral Boundary Conditions

Author(s) -

Sohaib Hasan,

Rabeea Mohammed Hani Darghoth

Publication year - 2011

Publication title -

maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics

Language(s) - English

Resource type - Journals

eISSN - 2311-7990

pISSN - 1815-4816

DOI - 10.33899/csmj.2011.163616

Subject(s) - mathematics , boundary value problem , uniqueness , fixed point theorem , mathematical analysis , contraction principle , contraction mapping , integral equation , volterra integral equation , picard–lindelöf theorem

157 Existence Results of Fractional Mixed Volterra -Fredholm Integrodifferential Equations with Integral Boundary Conditions Sohaib T. Hasan Rabeea M. Hani College of Education College of Basic Education University of Mosul, Iraq University of Mosul , Iraq Received on: 12 / 1 / 2011 Accepted on: 16 / 3 / 2011 ABSTRACT In this paper, we give an existence results for the fractional mixed Volterra -Fredholm integrodifferential equation with Integral Boundary Conditions. First, we use the Banach contraction principle to prove the existence and the uniqueness of the solution for the boundary value problem. Second, we study the existence of the solutions for the boundary value problem. using Krasnoselskii’s fixed point theorem.

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