In this paper, the Adomian decomposition method and Modified Technique are successfully applied to find approximate solutions of fuzzy system Volterra integro-differential equations. The obtained have been improved by using iteration integral equation numerical solution with Simpson rule Trapezoidal rule. These proposed methods gave excellent results close exact solution. show that present is v...

Abstract The aim of this work is to establish results in fixed point theory for a pair fuzzy dominated mappings which forms rational V -contraction modular-like metric spaces. Some via partial order and using the graph concept are also developed. We apply our ensure existence solution nonlinear Volterra-type integral equations.

The fuzzy set theory introduced by Zadeh has emerged as an interesting and fascinating branch of pure and applied sciences. The applications of fuzzy set theory can be found in many branches of regional, physical, mathematical, differential equations andengineering sciences. Recently, the authors have made important research results in the theory of fuzzy differentialequations, integrodifferent...

Problem statement: The statistical modeling for predicting network traffic has now become a major tool used for network and is of significant interest in many domains: Adaptive application, congestion and admission control, wireless, network management and network anomalies. To comprehend the properties of IP-network traffic and system conditions, many kinds of reports based on measured network...

Abstract In this article, first, we present an example of fuzzy normed space by means the Mittag-Leffler function. Next, extend concept to matrix valued and also introduce a class control functions stabilize nonlinear ϕ -Hadamard fractional Volterra integro-differential equation. sense, investigate Ulam–Hyers–Rassias stability for kind equations in Banach space. Finally, as application, using f...

Abstract The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, novel integral-type contraction condition applied obtain these results. In way, several useful classical results have been generalized. Moreover, concrete example created furnish our An ...