Results 31 to 40 of about 145 (75)

Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions

پژوهش‌های ریاضی, 2019
Introduction A system of integral equations can describe different kind of problems in sciences and engineering. There are many different methods for numerical solution of linear and nonlinear system of integral equations. Material and methods This paper
Elnaz Babaei, Elham Hashemizadeh
doaj  

The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces

پژوهش‌های ریاضی, 2020
Introduction Complex analysis is a comparatively active branch in mathematics which has grown significantly. A deep look at the implications of continuity, derivative and integral in complex analysis and their relation with partial differential equations
Mozhgan Akbari, Fateme Joveini
doaj  

Nonlinear generalized fractional differential equations with generalized fractional integral conditions

Journal of Taibah University for Science, 2020
This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear ψ-Caputo fractional differential equation on a finite interval $[0, T] $, equipped with nonlinear ψ-Riemann–Liouville fractional integral boundary
Samiha Belmor, Chokkalingam Ravichandran, Fahd Jarad   +2 more
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On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis

Journal of Function Spaces, 2022
This research utilizes the generalized integral transform and the Adomian decomposition method to derive a fascinating explicit pattern for outcomes of the biological population model (BPM).
Saima Rashid, Rehana Ashraf, Ebenezer Bonyah   +2 more
doaj   +1 more source

The Modified Degenerate Kernel Method for the Multi-Dimensional Fredholm Integral Equations of the Second Kind

پژوهش‌های ریاضی, 2020
Introduction For the scientific study of a natural phenomenon it must be modeled. The resulting model is often expressed as a differential equation (DE), an integral equation (IE) or an integro-differential equation (IDE) or a system of these. Therefore,
Ahmad Molabahrami
doaj  

A technique of tripled coincidence points for solving a system of nonlinear integral equations in POCML spaces

Journal of Inequalities and Applications, 2020
This manuscript aims to initiate some recent theoretical consequences related to tripled coincidence points for non-self mappings via the notion of C-type functions in partially ordered complete metric-like space (for short, POCML space).
Hasanen A. Hammad, Manuel De La Sen
doaj   +1 more source

Fractional Jacobi–Picard iteration method using Gauss–Seidel technique for solving a system of nonlinear fractional differential equations

Alexandria Engineering Journal
The main objective of this study is to introduce an improvement of Picard’s method, a technique commonly used to effectively solve a set of nonlinear fractional differential equations based on Caputo’s fractional derivative.
Soheyla Ansari, Mohammad Hossein Akrami
doaj   +1 more source

On the Positivity and Zero Crossings of Solutions of Stochastic Volterra Integrodifferential Equations

International Journal of Differential Equations, 2010
We consider the zero crossings and positive solutions of scalar nonlinear stochastic Volterra integrodifferential equations of Itô type. In the equations considered, the diffusion coefficient is linear and depends on the current state, and the drift term
John A. D. Appleby
doaj   +1 more source

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

International Journal of Analysis and Applications, 2017
In this paper, we study a new kind of nonlocal boundary value problems of nonlinear fractional differential equations and inclusions supplemented with nonlocal and generalized Riemann-Liouville fractional integral boundary conditions.
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi   +2 more
doaj   +2 more sources

A Set of Accurate Dispersive Nonlinear Wave Equations

Journal of Marine Science and Engineering
In this study, a set of accurate dispersive nonlinear wave equations is established, using the wave velocity and free surface elevation as variables. These equations improve upon previous equations in which the velocity potential is used as a variable by
Hongwei Bian, Jie Xu, Zhili Zou
doaj   +1 more source