Existence of Solutions of Quasilinear Integrodifferential Equations with Nonlocal Condition

Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces

“…Ntouyas and Tsamatos [23] studied the existence for semilinear evolution equations with nonlocal conditions. The problem of existence of solutions of evolution equations in Banach space has been studied by several authors [3,12,24]. This article is motivated by the results of [4,14,19,3,12,11].…”

Fourth Order Runge-Kutta Method Based On Geometric Mean for Hybrid Fuzzy Initial Value Problems

“…Fuzzy differential equations have been suggested as a way of modelling uncertain and incompletely specified systems and were studied by many researchers [9,10]. The existence of solutions of fuzzy differential equations has been studied by several authors [3,4]. It is difficult to obtain an exact solution for fuzzy differential equations and hence several numerical methods where proposed [11,12,14,18].…”

“…Fuzzy Differential Equation (FDE) models have wide range of applications in many branches of engineering and in the field of medicine. The concept of a fuzzy derivative was first introduced by Chang and Zadeh [5], later Dubois and Prade [6] defined the fuzzy derivative by using Zadeh"s extension principle and then followed by Puri and Ralescu [23]. Fuzzy differential equations have been suggested as a way of modelling uncertain and incompletely specified systems and were studied by many researchers [9,10].…”

Some New Uniqueness Results of Solutions to Nonlinear Fractional Integro-Differential Equations

“…In latest years, there has been an interest in the look at of the theory fractional differential equations, it has seen significant improvement, see as an instance the monographs of Delboso and Rodino [8], Diethelm [9], Kilbas et al [10], Miller and Ross [11] Oldham and Spanier [13] and the references therein. Recently, uniqueness standards for the various fractional integro-differential equations have been taken into consideration by way some authors, for greater info, (see [1,2,3,4,5,6,7,12,16] …”