The second iteration of the optimal homotopy asymptotic technique (OHAM-2) has been
protracted to fractional order partial differential equations in this work for the first time …

In this paper, the new representations of optical wave solutions to fiber Bragg gratings with
cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index …

Thin film flow is an important theme in fluid mechanics and has many industrial applications.
These flows can be observed in oil refinement process, laser cutting, and nuclear reactors …

This work presents the analytical study of one dimensional time-fractional nonlinear
Schrödinger equation arising in quantum mechanics. In present research, we establish an …

Abstract The (3+ 1)-dimensional Schrödinger model plays an importance role in capturing
highly nonlinear optical phenomena with ultra-short pulses. In this regard, the objective of …

Analytical solutions for functionally graded (FG) rotating disks are limited due to the
functional representation of the cross-sectional geometry, the density, and the modulus of …

This work focuses on solving and analyzing two-point fuzzy boundary value problems in the
form of fractional ordinary differential equations (FFOBVPs) using a new version of the …

In this work, the fuzzy fractional two‐point boundary value problems (FFTBVPs) are
analyzed and solved using the fuzzy fractional homotopy analysis method (FF‐HAM). Fuzzy …

The Laplace transformation is a very important integral transform, and it is extensively used
in solving ordinary differential equations, partial differential equations, and several types of …

We study here the effectiveness of the optimal homotopy asymptotic method (OHAM) in
solving non-linear differential equations of non-Newtonian fluids. To this consequence, we …