A novel hybrid technique to obtain the solution of generalized fractional-order differential equations
The motive of the work is to propose a new hybrid technique, the Homotopy Perturbation
General Transform Method (HPGTM) for obtaining an analytic solution for a wide class of …
General Transform Method (HPGTM) for obtaining an analytic solution for a wide class of …
Novel numerical investigations of fuzzy Cauchy reaction–diffusion models via generalized fuzzy fractional derivative operators
The present research correlates with a fuzzy hybrid approach merged with a homotopy
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …
perturbation transform method known as the fuzzy Shehu homotopy perturbation transform …
Analysis of the conformable temporal-fractional swift–hohenberg equation using a novel computational technique
A Khan, MI Liaqat, MA Alqudah, T Abdeljawad - Fractals, 2023 - World Scientific
The main objective of this study is to provide a new computational procedure for extracting
approximate and exact solutions of the temporal-fractional Swift–Hohenberg (S–H) …
approximate and exact solutions of the temporal-fractional Swift–Hohenberg (S–H) …
New computations of the fractional worms transmission model in wireless sensor network in view of new integral transform with statistical analysis; an analysis of …
Wireless sensor networks (WSNs) have attracted a lot of interest due to their enormous
potential for both military and civilian uses. Worm attacks can quickly target WSNs because …
potential for both military and civilian uses. Worm attacks can quickly target WSNs because …
On non-symmetric fractal-fractional modeling for ice smoking: Mathematical analysis of solutions
Drugs have always been one of the most important concerns of families and government
officials at all times, and they have caused irreparable damage to the health of young …
officials at all times, and they have caused irreparable damage to the health of young …
A novel treatment of fuzzy fractional Swift–Hohenberg equation for a hybrid transform within the fractional derivative operator
This article investigates the semi-analytical method coupled with a new hybrid fuzzy integral
transform and the Adomian decomposition method via the notion of fuzziness known as the …
transform and the Adomian decomposition method via the notion of fuzziness known as the …
Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory
In this research, the¯ q-homotopy analysis transform method (¯ q-HATM) is employed to
identify fractional-order Whitham–Broer–Kaup equation (WBKE) solutions. The WBKE is …
identify fractional-order Whitham–Broer–Kaup equation (WBKE) solutions. The WBKE is …
Numerical Analysis of the Time-Fractional Boussinesq Equation in Gradient Unconfined Aquifers with the Mittag-Leffler Derivative
S Mukhtar - Symmetry, 2023 - mdpi.com
In this study, two numerical methods—the variational iteration transform method (VITM) and
the Adomian decomposition (ADM) method—were used to solve the second-and fourth …
the Adomian decomposition (ADM) method—were used to solve the second-and fourth …
[PDF][PDF] Novel analysis of nonlinear dynamics of a fractional model for tuberculosis disease via the generalized Caputo fractional derivative operator (case study of …
We propose a new mathematical framework of generalized fractional-order to investigate the
tuberculosis model with treatment. Under the generalized Caputo fractional derivative …
tuberculosis model with treatment. Under the generalized Caputo fractional derivative …
[PDF][PDF] Lie analysis, conserved vectors, nonlinear self-adjoint classification and exact solutions of generalized (N+ 1)-dimensional nonlinear Boussinesq equation
In this article, the generalized (N+ 1)-dimensional nonlinear Boussinesq equation is
analyzed via Lie symmetry method. Lie point symmetries of the considered equation and …
analyzed via Lie symmetry method. Lie point symmetries of the considered equation and …