and Applied Analysis 3 by considering a general fractional nonlinear nonhomogeneous partial differential equation with the initial condition of the following form: D α t U (x, t) = L (U (x, t)) + N (U (x, t)) + f (x, t) , α > 0, (13) subject to the initial condition D k 0 U (x, 0) = gk, (k = 0, . . . , n − 1) , D n 0 U (x, 0) = 0, n = [α] , (14) where D t denotes without loss of generality the ...

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This research introduces a novel approach that combines the conformable double Laplace–Sumudu transform (CDLST) and iterative method to handle nonlinear partial problems considering some given conditions, we call this new (CDLSI) method. Furthermore, state discuss main properties basic results related proposed technique. The provides approximate series solutions converge closed form of exact so...

In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear differential systems. This formula is applied with Mittage-Leffler function certain homogenous and nonhomogenous systems nonzero initial conditions. Stability discussed by means the system's distinctive equation.