Comparison of fractional effects for Phi-4 equation using beta and M-truncated derivatives

[1]  Devendra Kumar,et al.  Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution , 2022, Mathematics.

[2]  Jing-Jing Wang,et al.  A new perspective to discuss Korteweg-de Vries-like equation , 2022, Physics Letters A.

[3]  Jian‐gen Liu,et al.  On fractional symmetry group scheme to the higher dimensional space and time fractional dissipative Burgers equation , 2022, International Journal of Geometric Methods in Modern Physics.

[4]  M. Sadaf,et al.  Observations of fractional effects of β-derivative and M-truncated derivative for space time fractional Phi-4 equation via two analytical techniques , 2022, Chaos, Solitons & Fractals.

[5]  Muhammad Abbas,et al.  Efficient techniques for traveling wave solutions of time-fractional Zakharov-Kuznetsov equation , 2021, Math. Comput. Simul..

[6]  Abdul Majeed,et al.  On numerical simulations of time fractional Phi-four equation using Caputo derivative , 2021, Computational and Applied Mathematics.

[7]  Amir Ali,et al.  Analysis of Time-Fractional $$\phi ^{4}$$-Equation with Singular and Non-Singular Kernels , 2021, International Journal of Applied and Computational Mathematics.

[8]  J. Awrejcewicz,et al.  Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential , 2021, Materials.

[9]  Muhammad Imran Asjad,et al.  The fractional analysis of fusion and fission process in plasma physics , 2021, Physica Scripta.

[10]  A. Mousa,et al.  Analytical and semi-analytical solutions for Phi-four equation through three recent schemes , 2021 .

[11]  Dumitru Baleanu,et al.  Analysis of fractional model of guava for biological pest control with memory effect , 2020, Journal of advanced research.

[12]  Z. Li,et al.  Bifurcation and new exact traveling wave solutions for time-space fractional Phi-4 equation , 2020 .

[13]  El-Sayed M. Sherif,et al.  Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method , 2020, Frontiers in Physics.

[14]  D. Baleanu,et al.  Optical Solitons With M-Truncated and Beta Derivatives in Nonlinear Optics , 2019, Front. Phys..

[15]  D. Baleanu,et al.  New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications , 2019, Results in Physics.

[16]  M. Khater,et al.  Complex wave structures for abundant solutions related to the complex Ginzburg–Landau model , 2019, Optik.

[17]  M. Eslami,et al.  Jacobi Elliptic Function Expansion Method for Solving KdV Equation with Conformable Derivative and Dual-Power Law Nonlinearity , 2019, International Journal of Applied and Computational Mathematics.

[18]  S. Koonprasert,et al.  Exact traveling wave solutions of the space–time fractional complex Ginzburg–Landau equation and the space-time fractional Phi-4 equation using reliable methods , 2019, Advances in Difference Equations.

[19]  M. S. Osman,et al.  One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation , 2019, Nonlinear Dynamics.

[20]  Bo Wang,et al.  Solitary wave solutions for nonlinear fractional Schrödinger equation in Gaussian nonlocal media , 2019, Appl. Math. Lett..

[21]  M. Eslami,et al.  New exact solutions of nonlinear conformable time-fractional Phi-4 equation , 2018, Chinese Journal of Physics.

[22]  N. Raza New optical solitons in nonlinear negative-index materials with Bohm potential , 2018, Indian Journal of Physics.

[23]  Dipankar Kumar,et al.  New closed form soliton and other solutions of the Kundu-Eckhaus equation via the extended sinh-Gordon equation expansion method , 2018 .

[24]  Devendra Kumar,et al.  Analysis of local fractional coupled Helmholtz and coupled Burgers' equations in fractal media , 2022, AIMS Mathematics.

[25]  M. Abdelrahman,et al.  Fundamental solutions for the conformable time fractional Phi-4 and space-time fractional simplified MCH equations , 2021 .

[26]  D. Baleanu,et al.  Analytical and numerical simulations for the kinetics of phase separation in iron (Fe–Cr–X (X=Mo, Cu)) based on ternary alloys , 2020 .