In this work, the homotopy perturbation method is developed and formulated to find an approximate-analytical solution of fuzzy initial value problems involving a nonlinear first order ordinary differential equation. HPM allows for the solution of FIVPs to be calculated in the form of an infinite series in which the components can be easily computed. An efficient algorithm is proposed of HPM on ...

In this manuscript, a new hybrid technique viz Sawi transform-based homotopy perturbation method is implemented to solve one-dimensional shallow water wave equations. general, the quantities involved with such equations are commonly assumed be crisp, but parameters in actual scenario may imprecise/uncertain. Therefore, fuzzy uncertainty introduced as an initial condition. The main focus of stud...

Fractional Fornberg-Whitham equation has a vast application in physics. There exist various investigations for the above problem by considering the variables and parameters as crisp/exact. In practice, we may not have these parameters exactly but those may be known in some uncertain form. In the present paper, these uncertainties are taken as interval/fuzzy and the authors proposed here a new m...

In this research, we successfully demonstrated the use of homotopy perturbation method with Green's function to find approximate solutions for fuzzy system boundary value problems. Our results showcase effectiveness in providing accurate and reliable solutions. The consistent way reduce size computation gives reach exact solution is one best methods adopted determine behavior directly order ana...

In the current study, we define different L-valued operators on LB-valued general fuzzy automata or simply GFA, where B is considered as a complete infinitely distributive lattice of propositions about GFA. particular, this study demonstrates that successor and predecessor induce co-topologies while residuated approximation topologies state set given Further, show continuity separation properti...