This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with Caputo operator (CF) solve time linear and nonlinear partial differential equations. The transform (ST) (HP) are combined in this approach. In definition, derivative is defined. general, method straightforward execute yields good results. There some examples offered demonstrate technique's validity use.

The key objective of the current work is to examine behavior nonlinear fractional Riccati differential equation associated with Caputo–Prabhakar derivative. An efficient computational scheme, that is, a mixture homotopy analysis technique and sumudu transform, used solve equation. convergence uniqueness for solution implemented shown. In addition, numerical consequences are demonstrated in form...

The Sumudu decomposition method was used and developed in this paper to find approximate solutions for a general form of fractional integro-differential equation Volterra Fredholm types. Caputo definition deal with derivatives. As the under consideration depends mainly on writing non-linear terms, which are often found inside kernel integral equation, it Adomian’s polynomials well-known way. Af...

In this article, a new effective technique is implemented to solve families of nonlinear partial differential equations (NLPDEs). The proposed method combines the double ARA-Sumudu transform with numerical iterative get exact solutions NLPDEs. successive was used find solution terms these equations. order show efficiency and applicability presented method, some physical applications are analyze...