Results 41 to 50 of about 18,340 (169)

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
doaj   +1 more source

Embedding Stieltjes-Volterra integral equations in Stieltjes integral equations

, 1977
J. A. Reneke has shown that the linear Stieltjes-Volterra integral equations studied by D. B. Hinton can be transformed into Stieltjes integral equations of the type studied by J. S. Mac Nerney. By taking advantage of the nonlinear nature of Mac Nerney’s
William L. Gibson
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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  

On uniform and decay estimates for unbounded solutions of partial differential equations

, 2015
We prove that if a function $u$ satisfies certain integral estimates (of energy type) then it verifies estimates of the type $$ \|u(t)\|_{L^r(\Omega)} \leq c \frac{\|u(0)\|^{\gamma_0}_{L^{r_0}(\Omega)}}{t^{\gamma_1}}, \qquad t > 0, $$ where $r$ and $
PORZIO, Maria Michaela
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Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]

, 2007
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
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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

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

Nonlinear Integral Equations and Their Solutions

, 2016
We shall investigate nonlinear integral equations and their properties and solutions. Proofs and examples for the existence of unique solutions to nonlinear integral equations are provided. Some other areas explored are properties of solutions to systems
Richards, Caleb
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