Solution approximations for a mathematical model of relativistic electrons with beta derivative

Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05) Fractional ordinary differential equations (34A08)

Cites Work

Unnamed Item
Notes on the homotopy analysis method: some definitions and theorems
The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
On semi analytical and numerical simulations for a mathematical biological model; the time-fractional nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equation
Strong Langmuir turbulence dynamics through the trigonometric quintic and exponential B-spline schemes
Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation
Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws
Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior
Modified extended tanh-function method and its applications to the Bogoyavlenskii equation
Beyond Perturbation
Analytical and semi‐analytical solutions for time‐fractional Cahn–Allen equation
Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme
Folded novel accurate analytical and semi-analytical solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation
Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types
Kinetic analysis and numerical tests of an adaptive car-following model for real-time traffic in its

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