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Abstract In this paper we investigate the existence and approximation solution for nonlinear system of an integro-differential equation of the second order with boundary conditions by using the numerical-analytic method ...

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...

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...

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...

ABSTRACT In this paper we study the existence, uniqueness and stability solution of fractional nonlinear integro-differential equation, by using the Picard approximation method , and Banach fixed point method. also we ex...

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...

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...

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...

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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ABSTRACT In this paper we study the existence and approximation of the periodicsolutions for system of second order nonlinear differential equations according to Lebesgue integrable concept and by assuming that each of ...

This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G'⁄G)-expansion method is applied to solve this class of fractional-order nonlinear differential e...

During the Covid-19 pandemic, real-time social media data could in principle be used as an early predictor of a new epidemic wave. This possibility is examined here by employing a neural ordinary differential equation (n...

Abstract This article is concerned with the optimal mild solution and optimal control for stochastic Caputo fractional multi-valued impulsive non-autonomous differential equations with delayed force term and fractional B...

Recent advances in protein structure prediction, such as AlphaFold, have demonstrated the power of deep neural architectures like the Evoformer for capturing complex spatial and evolutionary constraints on protein confor...

We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacement‐velocity‐multiplier and to the reduced ...

Abstract The Boltzmann transport equation is the basic equation for solving the transport of charge carrier (electrons, holes) problems in semiconductor devices. The distribution function has been obtained from the solut...

We evaluate the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations. The methods are based on affine combinations of time-splitting integ...

Introduction. Nowadays, the most widely used wind energy conversion system in wind farms is based on a doubly fed induction generator (DFIG); it has a large speed range and can function in multiple modes. Problem. Harmon...

This study presents the dynamical analysis and soliton solutions of the Chaffee–Infante equation, an important nonlinear evolution model. The Chaffee Infante equation, widely employed as a reaction–diffusion model, i...

This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2+1)–dimensional singular pseudoparabolic equations in both linear and...

Abstract There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amou...

The main objective of this original research article is to understand the short-term dynamic behavior of the transport-category airplane during landing flare elevator control application. Increasing the pitch angle to ar...

Abstract Background Hypertension is an important risk factor for cardiovascular diseases, morbidity and mortality. In Germany, elevated systolic blood pressure is associated with more than half of all cardiovascular deat...