A fractional model for propagation of classical optical solitons by using nonsingular derivative

P Veeresha, DG Prakasha… - Mathematical Methods in …, 2024 - Wiley Online Library
The Schrödinger equation depends on the physical circumstance, which describes the state
function of a quantum‐mechanical system and gives a characterization of a system evolving …

New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, numerical solution of the mathematical model describing the deathly disease
in pregnant women with fractional order is investigated with the help of q-homotopy analysis …

Complete solution for the time fractional diffusion problem with mixed boundary conditions by operational method

A Aghili - Applied Mathematics and Nonlinear Sciences, 2021 - sciendo.com
In this study, we present some new results for the time fractional mixed boundary value
problems. We consider a generalization of the Heat-conduction problem in two dimensions …

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

W Gao, P Veeresha, DG Prakasha… - … Methods for Partial …, 2021 - Wiley Online Library
The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

New numerical results for the time-fractional Phi-four equation using a novel analytical approach

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Symmetry, 2020 - mdpi.com
This manuscript investigates the fractional Phi-four equation by using q-homotopy analysis
transform method (q-HATM) numerically. The Phi-four equation is obtained from one of the …

Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

M Şenol, OS Iyiola, H Daei Kasmaei… - Advances in Difference …, 2019 - Springer
In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …

Symmetry analysis and invariant solutions of generalized coupled Zakharov-Kuznetsov equations using optimal system of Lie subalgebra

M Usman, A Hussain, F Zaman, N Abbas - International Journal of …, 2024 - sciendo.com
This research focuses on the examination of nonlinear evolution equations, with a specific
emphasis on the generalized coupled Zakharov-Kuznetsov (CZK) equations serving as a …

[HTML][HTML] A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law

W Gao, P Veeresha, DG Prakasha… - Alexandria Engineering …, 2019 - Elsevier
The pivotal aim of the present work is to find the solution for fractional Drinfeld–Sokolov–
Wilson equation using q-homotopy analysis transform method (q-HATM). The proposed …

[HTML][HTML] A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease

P Veeresha, E Ilhan, DG Prakasha… - Alexandria Engineering …, 2022 - Elsevier
The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analyzed
in the present framework with the help of q-homotopy analysis transform method (q-HATM) …

Numerical Solutions of Time Fractional Zakharov‐Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives

MX Zhou, ASVR Kanth, K Aruna… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we have studied the time‐fractional Zakharov‐Kuznetsov equation (TFZKE) via
natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The …