In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2 + 1 -dimensional using id="M3"> G ′ / , . We obtained the solutions for id...

In this paper‎, ‎the existence and uniqueness of the ‎solution of a nonlinear fully fuzzy implicit integro-differential equation‎ ‎arising in the field of fluid mechanics is investigated. ‎First,‎ an equivalency lemma ‎is ‎presented ‎by‎ which the problem understudy ‎is ‎converted‎ to ‎the‎ two different forms of integral equation depending on the kind of differentiability of the solution. Then...

This paper is concerned with the existence and asymptotic stability in the p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given in [8], and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achie...

In this paper‎, ‎first‎, ‎a numerical method is presented for solving a class of linear Fredholm integro-differential equation‎. ‎The operational matrix of derivative is obtained by introducing hybrid third kind Chebyshev polynomials and Block-pulse functions‎. ‎The application of the proposed operational matrix with tau method is then utilized to transform the integro-differential equations to...

Hydraulic differential electric servo cylinders are electromechanical tools applicable for driving e.g. manipulators. Actual models are strongly nonlinear, coupled systems of differential equations. In the present paper we propose a new model using fuzzy differential equations under strongly generalized differentiability concept. The key point is a continuous fuzzyfication of the signum functio...

* Correspondence: [email protected] Department of Mathematical Sciences, Princess Nora Bint Abdulrahman University, Riyadh 84428, Saudi Arabia Full list of author information is available at the end of the article Abstract In this article, fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the ...

This paper is concerned with the existence of almost periodic and pseudo almost solutions for a nonlinear integro-differential equation with neutral delay, which arise in epidemic problems. By using almost periodic functions theory and fixed point theory, we obtain the results. Two examples are given to illustrate our results. In addition, an application to nonautonomous differential equations ...