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Papers by faraj Y . ishak

Research paper thumbnail of Existence and Uniqueness Solutions of Fuzzy Fractional Integral Equation of Volterra-Stieltjes Type

Journal of optimization, differential equations and their applications, Jun 1, 2022

In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for ... more In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for a fuzzy fractional Volterra-Stieltjes integrodifferential equation. The method of successive approximations is used to prove the existence, whereas the contraction theory is applied to prove the uniqueness of the solution to the problem.

Research paper thumbnail of Some result’s in the theory of fractional integral equations of Volterra-Fridlhom types

International Journal of Information Systems and Computer Sciences, 2020

The aim of this work is finding some result's in the existence, uniqueness and stability solution... more The aim of this work is finding some result's in the existence, uniqueness and stability solutions of new fractional integral equations of Volterra Fridlhom types by using Picard approximation method. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Furthermore, the study leads us to improve and extend the above method and the study become more general and detailed than those introduced by Butris results.

Research paper thumbnail of Some result's in the theory of fractional integral equations of Volterra-Fridlhom types

The aim of this work is finding some result's in the existence, uniqueness and stability solution... more The aim of this work is finding some result's in the existence, uniqueness and stability solutions of new fractional integral equations of Volterra Fridlhom types by using Picard approximation method. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Furthermore, the study leads us to improve and extend the above method and the study become more general and detailed than those introduced by Butris results.

Research paper thumbnail of Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation

Artikel ini menyajikan hasil penelitian tentang eksistensi dari solusi persamaan integral fraksio... more Artikel ini menyajikan hasil penelitian tentang eksistensi dari solusi persamaan integral fraksional nonlinier tipe Volterra dengan kondisi batas campuran, beberapa hipotesis yang diperlukan telah dikembangkan untuk membuktikan keberadaan solusi persamaan yang diusulkan. Teorema Krasnoselskii, prinsip Banach Contraction dan teori derajat Leray-Schauder adalah teorema dasar yang digunakan di sini untuk mencari solusi hasil. Dalam artikel ini juga diberikan contoh sederhana dari penerapan hasil persamaannya.

Research paper thumbnail of EXISTENCE AND UNIQUENESS SOLUTIONS OF FUZZY FRACTIONAL INTEGRAL EQUATION OF VOLTERRA-STIELTJES TYPE

In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for ... more In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for a fuzzy fractional Volterra-Stieltjes integrodifferential equation. The method of successive approximations is used to prove the existence, whereas the contraction theory is applied to prove the uniqueness of the solution to the problem.

Research paper thumbnail of EXISTENCE AND UNIQUENESS SOLUTION FOR FRACTIONAL VOLTERRA EQUATION WITH FRACTIONAL ANTI-PERIODIC BOUNDARY CONDITIONS

Palestine Polytechnic University-PPU 2023, 2023

In this paper some existence results for a first kind Volterra differential equation of fractiona... more In this paper some existence results for a first kind Volterra differential equation of fractional order with fractional anti-periodic boundary conditions are presented. The main tool of the study is Leray-schauder degree theory. Some illustrative examples are discussed.

Research paper thumbnail of Existence and Uniqueness Solution for Three-Point Hadamard-Type Fractional Volterra BVP

E-Jurnal Matematika, 2022

In this paper we study the existence and uniqueness solution for a first kind fractional Volterra... more In this paper we study the existence and uniqueness solution for a first kind fractional Volterra boundary value problem involving Hadamard type and three-point boundary conditions. Our analysis is based on Krasnoselskii-Zabreiko’s fixed point theorem and Banach contraction principle. As an application we discuss a Hadamard type boundary value problem with fractional integral boundary conditions. We emphasize that our results are new in the context of Hadamard fractional calculus and are well illustrated with the aid of examples.

Research paper thumbnail of Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions

Jurnal Matematika "MANTIK"

This article investigates existence, uniqueness and stability solutions of new fractional Volterr... more This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniqueness of solution are established under some necessary and sufficient conditions on compact space. A simple example of application of the main results of this article is presented.

Research paper thumbnail of Existence, Uniqueness and Stability Solutions for New Nonlinear System of Integro-Differential Equations of Volterra Type

E-Jurnal Matematika

In this article, we established the existence, uniqueness and stability solutions for a nonlinear... more In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented.

Research paper thumbnail of Existence and Uniqueness Solutions of Fuzzy Fractional Integral Equation of Volterra-Stieltjes Type

Journal of optimization, differential equations and their applications, Jun 1, 2022

In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for ... more In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for a fuzzy fractional Volterra-Stieltjes integrodifferential equation. The method of successive approximations is used to prove the existence, whereas the contraction theory is applied to prove the uniqueness of the solution to the problem.

Research paper thumbnail of Some result’s in the theory of fractional integral equations of Volterra-Fridlhom types

International Journal of Information Systems and Computer Sciences, 2020

The aim of this work is finding some result's in the existence, uniqueness and stability solution... more The aim of this work is finding some result's in the existence, uniqueness and stability solutions of new fractional integral equations of Volterra Fridlhom types by using Picard approximation method. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Furthermore, the study leads us to improve and extend the above method and the study become more general and detailed than those introduced by Butris results.

Research paper thumbnail of Some result's in the theory of fractional integral equations of Volterra-Fridlhom types

The aim of this work is finding some result's in the existence, uniqueness and stability solution... more The aim of this work is finding some result's in the existence, uniqueness and stability solutions of new fractional integral equations of Volterra Fridlhom types by using Picard approximation method. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Furthermore, the study leads us to improve and extend the above method and the study become more general and detailed than those introduced by Butris results.

Research paper thumbnail of Mixed Boundary Value Problem for Nonlinear Fractional Volterra Integral Equation

Artikel ini menyajikan hasil penelitian tentang eksistensi dari solusi persamaan integral fraksio... more Artikel ini menyajikan hasil penelitian tentang eksistensi dari solusi persamaan integral fraksional nonlinier tipe Volterra dengan kondisi batas campuran, beberapa hipotesis yang diperlukan telah dikembangkan untuk membuktikan keberadaan solusi persamaan yang diusulkan. Teorema Krasnoselskii, prinsip Banach Contraction dan teori derajat Leray-Schauder adalah teorema dasar yang digunakan di sini untuk mencari solusi hasil. Dalam artikel ini juga diberikan contoh sederhana dari penerapan hasil persamaannya.

Research paper thumbnail of EXISTENCE AND UNIQUENESS SOLUTIONS OF FUZZY FRACTIONAL INTEGRAL EQUATION OF VOLTERRA-STIELTJES TYPE

In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for ... more In this paper, we establish the existence and uniqueness results to the Cauchy problem posed for a fuzzy fractional Volterra-Stieltjes integrodifferential equation. The method of successive approximations is used to prove the existence, whereas the contraction theory is applied to prove the uniqueness of the solution to the problem.

Research paper thumbnail of EXISTENCE AND UNIQUENESS SOLUTION FOR FRACTIONAL VOLTERRA EQUATION WITH FRACTIONAL ANTI-PERIODIC BOUNDARY CONDITIONS

Palestine Polytechnic University-PPU 2023, 2023

In this paper some existence results for a first kind Volterra differential equation of fractiona... more In this paper some existence results for a first kind Volterra differential equation of fractional order with fractional anti-periodic boundary conditions are presented. The main tool of the study is Leray-schauder degree theory. Some illustrative examples are discussed.

Research paper thumbnail of Existence and Uniqueness Solution for Three-Point Hadamard-Type Fractional Volterra BVP

E-Jurnal Matematika, 2022

In this paper we study the existence and uniqueness solution for a first kind fractional Volterra... more In this paper we study the existence and uniqueness solution for a first kind fractional Volterra boundary value problem involving Hadamard type and three-point boundary conditions. Our analysis is based on Krasnoselskii-Zabreiko’s fixed point theorem and Banach contraction principle. As an application we discuss a Hadamard type boundary value problem with fractional integral boundary conditions. We emphasize that our results are new in the context of Hadamard fractional calculus and are well illustrated with the aid of examples.

Research paper thumbnail of Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions

Jurnal Matematika "MANTIK"

This article investigates existence, uniqueness and stability solutions of new fractional Volterr... more This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniqueness of solution are established under some necessary and sufficient conditions on compact space. A simple example of application of the main results of this article is presented.

Research paper thumbnail of Existence, Uniqueness and Stability Solutions for New Nonlinear System of Integro-Differential Equations of Volterra Type

E-Jurnal Matematika

In this article, we established the existence, uniqueness and stability solutions for a nonlinear... more In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented.