The integral transform based decomposition method comprises of coupling a particular
integral transform de ned in a time domain and the well-known Adomian decomposition …

In the present article, fractional-order heat and wave equations are solved by using the
natural transform decomposition method. The series form solutions are obtained for …

In this study, we introduced a novel scheme to attain approximate and closed‐form solutions
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …

In this paper, we constructed new solitary structures for the space-time fractional simplified
modified Camassa-Holm (MCH) equation and space-time fractional symmetric regularized …

In literature, it is usually very difficult to investigate the analytical and numerical solutions of
fractional integro-differential equations (FIDEs). In the current work, the solutions to linear …

In this research work, we established exact solution for the conformable space–time
fractional (3+ 1) dimensional modified Korteweg de Vries equations (mKdV). A Sine-Cosine …

The fractional partial differential equations have wide applications in science and
engineering. In this paper, the Kudryashov techniques were utilized to obtain an exact …

In this work, exact analytical solutions for the time fractional variant bussinesq equations are
constructed in the sense of the newly devised fractional derivative called conformable …

In the present paper, multiple exact soliton solutions for the old and the newly introduced (3+
1)-dimensional modified Korteweg–de-Vries equation (mKdV) will be sought. The mKdV …

Continuous dynamical systems are attempted to solve via proposed third order convergent
numerical solver. The solver is shown to possess third order convergence on the basis of …