Introduction Integral transforms are important to solve real problems. Appropriate choice of
integral transforms helps to convert differential equations as well as integral equations into …

Laplace and Fourier transforms are widely used independently in engineering for linear
differential equations including fractional differential equations. Here we introduce a …

In this paper, the Elzaki transform decomposition method is implemented to solve the time-
fractional Swift–Hohenberg equations. The presented model is related to the temperature …

In this paper, the new iterative transform method and the homotopy perturbation transform
method was used to solve fractional-order Equal-Width equations with the help of Caputo …

In this manuscript we establish the expressions of the Shehu transform for fractional
Riemann-Liouville and Caputo operators. With the help of this new integral transform we …

In the current paper, we have generalized the concept of one dimensional Shehu transform
into two dimensional Shehu transform namely, double Shehu transform (DHT). Further, we …

In this article, we also introduced two well-known computational techniques for solving the
time-fractional Fornberg–Whitham equations. The methods suggested are the modified form …

This research utilizes the generalized integral transform and the Adomian decomposition
method to derive a fascinating explicit pattern for outcomes of the biological population …

This paper is devoted to exploring a new class of ψ-Hilfer fractional integro-differential
systems under the influence of impulses. Using semigroup theory, fixed-point technique, and …

This article introduces modified semianalytical methods, namely, the Shehu decomposition
method and q‐homotopy analysis transform method, a combination of decomposition …