Extracting the ultimate new soliton solutions of some nonlinear time fractional PDEs via the conformable fractional derivative

MA Iqbal, AH Ganie, MM Miah, MS Osman - Fractal and Fractional, 2024 - mdpi.com
Nonlinear fractional-order differential equations have an important role in various branches
of applied science and fractional engineering. This research paper shows the practical …

Exp-function method for the conformable space-time fractional STO, ZKBBM and coupled Boussinesq equations

HÇ Yaslan, A Girgin - Arab Journal of Basic and applied sciences, 2019 - Taylor & Francis
In the present paper, new analytical solutions for the conformable space-time fractional
Sharma-Tasso-Olever (STO), Zakharov Kuznetsov Benjamin Bona Mahony (ZKBBM) and …

[PDF][PDF] Approximate solutions of a generalized Hirota???? Satsuma coupled KdV and a coupled mKdV systems with time fractional derivatives

BR Sontakke, A Shaikh, KS Nisar - Malaysian Journal of …, 2018 - researchgate.net
In the present study, a relatively new approach which is the combination of fractional
complex transform and modified version of Adomian decomposition method also known as …

[PDF][PDF] Solution of non-linear fractional differential equations by variational iteration method and applications

BR Sontakke, AS Shelke, AS Shaikh - Far East J. Math. Sci, 2019 - researchgate.net
In this paper, approximate solutions of time fractional partial differential equations are
obtained by using He's variational iteration method (VIM). The VIM is compatible and …

Application of Adomian decomposition method to solve the fractional mathematical model of corona virus

S Kulkarni, K Takale, A Shaikh - J. Math. Comput. Sci., 2020 - scik.org
The aim of this paper is to solve the fractional mathematical model of Corona Virus by
Adomian Decomposition Method. The researchers developed mathematical model which is …

Convergence analysis and approximate solution of fractional differential equations

BR Sontakke, R Pandit - Malaya Journal of Matematik, 2019 - malayajournal.org
This paper investigates the iterative solution of linear and nonlinear fractional partial
differential equations using fractional Adomian decomposition method (ADM). We also …

Solving the fractional optimal control of a spring-mass-viscodamper system with Caputo–Fabrizio fractional operator

S Ghaderi, A Heydari, S Effati - Iranian Journal of Science and Technology …, 2021 - Springer
The present paper investigates and develops a new technique based on the Chebyshev
cardinal functions for solving fractional optimal control problems of a spring-mass …

Existence and uniqueness of integrable solutions of fractional order initial value equations

B Sontakke, A Shaikh, K Nisar - Journal of Mathematical Modeling, 2018 - jmm.guilan.ac.ir
This paper is devoted to investigate some existence and uniqueness results of integrable
solutions for nonlinear fractional order initial value differential equations involving Caputo …

[PDF][PDF] SYMMETRY ANALYSIS, EXACT SOLUTIONS AND CONSERVATION LAWS OF THE NONLINEAR TIME-FRACTIONAL SHARMA-TASSO-OLEVER EQUATION

J Yu, Y Feng - Journal of Applied Mathematics and Computational …, 2024 - jamcm.pcz.pl
The Lie symmetry analysis method (LSAM) is applied to obtain all Lie symmetries of the
nonlinear time-fractional Sharma-Tasso-Olever equation. The studied fractional partial …

[PDF][PDF] Fractional complex transform for approximate solution of time fractional Zakharov-Kuznetsov equation

BR Sontakke, A Shaikh, V Jadhav… - International Journal of …, 2017 - researchgate.net
914 BR Sontakke, A. Shaikh, V. Jadhav tive operator from integer order n to arbitrary order α,
where α is a real or complex value, or even more complicated a complex valued function α …