Discussion of numerical and analytical techniques for the emerging fractional order murnaghan model in materials science

Dispersive optical soliton solutions of the $$(2 + 1)$$-dimensional cascaded system governing by coupled nonlinear Schrödinger equation with Kerr law nonlinearity in plasma

(2023) Nilkanta Das et al.   OPTICAL AND QUANTUM ELECTRONICS

Novel optical soliton solutions for time-fractional resonant nonlinear Schrödinger equation in optical fiber

(2022) N. Das et al.   OPTICAL AND QUANTUM ELECTRONICS

Dispersive optical soliton wave solutions for the time-fractional perturbed nonlinear Schrödinger equation with truncated M-fractional conformable derivative in the nonlinear optical fibers

(2022) Nilkanta Das et al.   OPTICAL AND QUANTUM ELECTRONICS

A FRACTAL MODIFICATION OF THE UNSTEADY KORTEWEG–DE VRIES MODEL AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE AND DIVERSE EXACT SOLUTIONS

(2022) KANG-JIA WANG   FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY

Fractional approach for analysis of the model describing wind-influenced projectile motion

(2021) P Veeresha et al.   PHYSICA SCRIPTA

Energy-carrying wave simulation of the Lonngren-wave equation in semiconductor materials

(2021) Hülya Durur   INTERNATIONAL JOURNAL OF MODERN PHYSICS B

Applications of fractional calculus in equiaffine geometry: plane curves with fractional order

(2021) Muhittin Evren Aydin et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Simulation of bright–dark soliton solutions of the Lonngren wave equation arising the model of transmission lines

(2021) Asif Yokuş   MODERN PHYSICS LETTERS B

Dynamic interaction of behaviors of time-fractional shallow water wave equation system

(2021) Serbay Duran   MODERN PHYSICS LETTERS B

Periodic solution of the time-space fractional complex nonlinear Fokas-Lenells equation by an ancient Chinese algorithm

(2021) Kang-Jia Wang   OPTIK

An investigation of the physical dynamics of a traveling wave solution called a bright soliton

(2021) Serbay Duran   PHYSICA SCRIPTA

Optical soliton solutions to the Fokas–Lenells equation via sine-Gordon expansion method and $$(m+({G'}/{G}))$$(m+(G′/G))-expansion method

(2020) Hajar F Ismael et al.   PRAMANA-JOURNAL OF PHYSICS

Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense

(2020) Gulistan Iskenderoglu et al.   CHAOS SOLITONS & FRACTALS

Exact Soliton Solutions to the Cubic-Quartic Non-linear Schrödinger Equation With Conformable Derivative

(2020) Hemen Dutta et al.   Frontiers in Physics

Numerical investigation for the fractional nonlinear space‐time telegraph equation via the trigonometric Quintic B‐spline scheme

(2020) Mostafa M. A. Khater et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Numerical solution of fractional partial differential equations via Haar wavelet

(2020) Laique Zada et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Modified Kudryashov method via new exact solutions for some conformable fractional differential equations arising in mathematical biology

(2018) Dipankar Kumar et al.   CHINESE JOURNAL OF PHYSICS

Fractal advection-dispersion equation for groundwater transport in fractured aquifers with self-similarities

(2018) A. Allwright et al.   European Physical Journal Plus

Solitons in an inhomogeneous Murnaghan’s rod

(2018) Carlo Cattani et al.   European Physical Journal Plus

Fractal calculus and its geometrical explanation

(2018) Ji-Huan He   Results in Physics

Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order

(2016) Abdon Atangana et al.   CHAOS SOLITONS & FRACTALS

On conformable fractional calculus

(2015) Thabet Abdeljawad   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

A new definition of fractional derivative

(2014) R. Khalil et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS