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Approximate Solution for Nonlinear System of Integro-Differential Equations of Volterra Type with Boundary Conditions
Article
Article
Ghada Jameel · University of Mosul, College of Education for Pure Science · 2019 · ISSN 1812-125X
In this study we investigate the approximation of the solution for nonlinear system of integro-differential equations of Volterra type with boundary conditions. The numerical-analytic method of periodic solutions for ord...
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Development of the hybrid method to solve boundary values problems in Ordinary Differential equations
Article
Article
Basheer Al-Hayali et al · University of Mosul, College of Education for Pure Science · 2007 · ISSN 1812-125X
Abstract The purpose of this research is the development of a Hybrid Technique for solving Boundary Value Problems (BVPs) linear & non-linear in Ordinary Differential Equations (ODEs). We display the hybrid method by usi...
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Existence of a Periodic Solution for Nonlinear Systems of Differential Equations with Retarded Argument
Article
Article
Raad N.Butris et al · University of Mosul, College of Education for Pure Science · 2005 · ISSN 1812-125X
In this paper we investigate the existence and approximation of the periodic solutions for nonlinear systems of differential equations with retarded argument, by using the method of periodic solutions of ordinary differe...
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Haar Wavelet Method for the Numerical Solution of Nonlinear Fredholm Integro-Differential Equations
Article
Article
Najem A. Mohammad et al · University of Mosul, College of Education for Pure Science · 2023 · ISSN 1812-125X
The solution of nonlinear Fredholm integro-differential equations plays a significant role in analyzing many nonlinear events that occur in chemistry, physics, mathematical biology, and a variety of other fields of scien...
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Implementing Runge-Kutta Method of Sixth-Order for Numerical Solution of Fuzzy Differential Equations
Article
Article
Marwa Alsafar et al · University of Mosul, College of Education for Pure Science · 2023 · ISSN 1812-125X
The article talks about the increasing importance of the practical use of fuzzy differential equations in modeling complex problems in various fields, such as science and engineering, as these differential equations allo...
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Improving the Analytical Method of Convergence Using Runge-Kutta Optimization Algorithm for Solving Fractional-Order Nonlinear Differential Equations
Article
Article
Shwan Abdal et al · University of Mosul, College of Education for Pure Science · 2025 · ISSN 1812-125X
Differential equations are equations that relate a function to one or more of its derivatives. Nonlinear means that the equation is not directly proportional to the function and its derivatives. In other words, its varia...
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Numerical Solution for Solving Linear Fractional Differential Equations using Chebyshev Wavelets
Article
Article
Inaam Abdulbaset Fathi et al · University of Mosul, College of Education for Pure Science · 2023 · ISSN 1812-125X
In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent p...
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Periodic Solutions for Nonlinear System of Differential Equations of Third Order with Boundary Conditions
Article
Article
Raad N. Butris et al · University of Mosul, College of Education for Pure Science · 2013 · ISSN 1812-125X
ABSTRACT In this study we investigate the existence and approximation of the periodic solutions for nonlinear system of differential equations of third order with boundary conditions. The numerical-analytic method has be...
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Periodic solutions of second-order nonlinear system of integro-differential equations unsolvable for the highest derivative
Article
Article
R. N. Butris · University of Mosul, College of Education for Pure Science · 2008 · ISSN 1812-125X
ABSTRACT In this paper we study the existence and approximation of the periodic solutions for certain systems of second-order of integro-differential equations unsolvable for the highest derivative by using the numerical...
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Some theorems in existence and oneness of a system of integral - nonlinear differential equations
Article
Article
Raed Butrus et al · University of Mosul, College of Education for Pure Science · 2006 · ISSN 1812-125X
In this paper we study the existence and uniqueness solution for system of nonlinear integro-differential equations by usingRiemann integral. For this purpose, the study depends upon(Picard approximation Method) and (Ban...
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The existence and approximation of the periodic solutions for system of first order nonlinear differential equationsby using Lebesgue integrable
Article
Article
R. N.Butris et al · University of Mosul, College of Education for Pure Science · 2008 · ISSN 1812-125X
ABSTRACT In this paper we study the existence and approximation of the periodic solutions for a system of first order nonlinear differential equations by assuming that each of the functions are measurable at t and bounde...
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The existence and uniqueness of the solutions for a system of some fractional order nonlinear differential equations
Article
Article
Raad Putrus et al · University of Mosul, College of Education for Pure Science · 2008 · ISSN 1812-125X
ABSTRACT In this paper, we study an existence and uniqueness of the solutions for some nonlinear differential equations which has fractional order , in the case , by using the picard approximation method .and through thi...
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The investigation of solutions for nonlinear system of differential equations with boundary conditions
Article
Article
R.N. Butris et al · University of Mosul, College of Education for Pure Science · 2007 · ISSN 1812-125X
Abstract In this paper we investigate the existence and approximation for nonlinear system of differential equations with boundary conditions by using the numerical-analytic method for investigate of a periodic solution...
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The periodic solution for some systems of nonlinear integro-differential equations of Volterra type.
Article
Article
Raad Putrus et al · University of Mosul, College of Education for Pure Science · 2008 · ISSN 1812-125X
ABSTRACT In this paper we investigate the existence and approximation of the periodic solution for a system of nonlinear integro-differential equations of Volterra type. The numerical-analytic method has been used to stu...
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Existence and Uniqueness Theorems For Non- Linear Fractional Differential Equations
Article
Article
Azhaar H. Sallo · University of Mosul, College of Education for Pure Science · 2006 · ISSN 1812-125X
In this paper, we study the existence and uniqueness solution for non-linear fractional differential equation which has the form D° [y - Tm_, (y (Xx) = f (xf y (x)) m-l2 With By using Schauder fixed point theorem [4].
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Existence of a Solution of a Certain Volterra –Fredholm Integro Differential Equations
Article
Article
Akram H. Mahmood et al · University of Mosul, College of Education for Pure Science · 2012 · ISSN 1812-125X
Abstract In this paper, e investigate the existence of global solution for nonlinear mixed Volterra–Fredholm integro differential equation with nonlocal condition in Banach space. Our results depend on Leray –Schaude...
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The existence and convergence of the solution to a system of non-linear integral-differential equations of the first rank with the requirements of integration
Article
Article
Raad Petrus et al · University of Mosul, College of Education for Pure Science · 2006 · ISSN 1812-125X
In this paper we investigate the existence and approximation for nonlinear system of integro-differential equation with boundary integral conditions by using the numerical-analytic method for investigating of a periodic ...
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Existence and Unity of the Solution of Integral-Linear Differential Equations with Fractional Ranks Using the Fixed Point Banach Theorem
Article
Article
Raad Butrus et al · University of Mosul, College of Education for Pure Science · 2019 · ISSN 1812-125X
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Study Boundary Problem with Integral condition for Fractional Differential Equations
Article
Article
Nawal Abdulkader et al · University of Mosul, College of Education for Pure Science · 2020 · ISSN 1812-125X
In last many years ago there was a great interest in studying the existence of positive solutions for fractional differential equations. Many authors have considered the existence of positive solutions of non-linear diff...
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The existence and approximation of the periodic solution of a system of nonlinear differential-differential equations of the first order with independent variable delay with boundary conditions
Article
Article
Raad Putrus et al · University of Mosul, College of Education for Pure Science · 2007 · ISSN 1812-125X
ABSTRACT In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numerical–analyt...
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