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Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions
OA Arqub, M Al-Smadi - Soft Computing, 2020 - Springer
The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …
Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense
Mathematical modeling of fractional resonant Schrödinger equations is an extremely
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …
significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and …
Approximate solutions of nonlinear fractional Kundu-Eckhaus and coupled fractional massive Thirring equations emerging in quantum field theory using conformable …
In quantum field theory, the fractional Kundu-Eckhaus and massive Thirring models are
nonlinear partial differential equations under fractional sense inside nonlinear Schrödinger …
nonlinear partial differential equations under fractional sense inside nonlinear Schrödinger …
[HTML][HTML] The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering
M Alquran - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Many applications and natural phenomena in the fields of physics and engineering are
described by ordinary and partial differential equations. Therefore, obtaining solutions to …
described by ordinary and partial differential equations. Therefore, obtaining solutions to …
[HTML][HTML] Promoted residual power series technique with Laplace transform to solve some time-fractional problems arising in physics
Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy map** of …
characteristics. These inherited memories have been identified as a homotopy map** of …
[PDF][PDF] New travelling wave solutions for KdV6 equation using sub equation method
This paper proposes obtaining the new wave solutions of time fractional sixth order
nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are …
nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are …
Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics
In this current study, we described a modified extended tanh-function (mETF) method to find
the new and efficient exact travelling and solitary wave solutions to the modified Liouville …
the new and efficient exact travelling and solitary wave solutions to the modified Liouville …
[HTML][HTML] Evolutionary dynamics of solitary wave profiles and abundant analytical solutions to a (3+ 1)-dimensional burgers system in ocean physics and …
In the fields of oceanography, hydrodynamics, and marine engineering, many
mathematicians and physicists are interested in Burgers-type equations to show the different …
mathematicians and physicists are interested in Burgers-type equations to show the different …
[HTML][HTML] A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow
In this study, a comparison between the modified homotopy analysis transform method
(MHATM) and residual power series method (RPSM) have been given for solving time …
(MHATM) and residual power series method (RPSM) have been given for solving time …
A fractional analysis of Noyes–Field model for the nonlinear Belousov–Zhabotinsky reaction
L Akinyemi - Computational and Applied Mathematics, 2020 - Springer
Nonlinear phenomena play an essential role in various field of natural sciences and
engineering. In particular, the nonlinear chemical reactions are observed in various …
engineering. In particular, the nonlinear chemical reactions are observed in various …