The objective of this work is to investigate analytical solutions of some models of cancer
tumors using the Laplace residual power series method (LRPSM). The proposed method …

The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …

In this paper, we aim to discuss a fractional complex Ginzburg–Landau equation by using
the parabolic law and the law of weak non-local nonlinearity. Then, we derive dynamic …

This paper investigates the dynamics of exact travelling-wave solutions for nonlinear spatial
and temporal fractional partial differential equations with conformable order derivatives …

In this paper, we compile the fractional power series method and the Laplace transform to
design a new algorithm for solving the fractional Volterra integro-differential equation. For …

In the current analysis, a specific efficient and applicable novel solution approach, based on
a fractional power series technique and Laplace transform operator, is considered to predict …

In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial
differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian …

This paper aims to investigate a new efficient method for solving time fractional partial
differential equations. In this orientation, a reliable formable transform decomposition …

This work investigates the exact and accurate approximate series solutions of the strongly
nonlinear wave-like differential equations of fractional order with variable coefficients …

This research aims to provide a new identification of Lagrange multipliers using a novel
hybrid method based on the Khalouta transform method and the variational iteration method …