Deep neural network methods for solving forward and inverse problems of time fractional diffusion equations with conformable derivative

Machine intelligence in dynamical systems: \A state‐of‐art review

(2022) Arup Kumar Sahoo et al.   Wiley Interdisciplinary Reviews-Data Mining and Knowledge Discovery

A numerical simulation of the fractional order Leptospirosis model using the supervise neural network

(2022) Kanit Mukdasai et al.   Alexandria Engineering Journal

An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives

(2021) Abd-Allah Hyder et al.   Communications in Nonlinear Science and Numerical Simulation

Novel solution to the fractional neutron point kinetic equation using conformable derivatives

(2021) G. Fernández-Anaya et al.   ANNALS OF NUCLEAR ENERGY

Representation of solutions of linear conformable delay differential equations

(2021) Guanli Xiao et al.   APPLIED MATHEMATICS LETTERS

Representation of solutions of nonhomogeneous conformable fractional delay differential equations

(2021) Nazim I. Mahmudov et al.   CHAOS SOLITONS & FRACTALS

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

(2020) Mohammed Al-Smadi et al.   PHYSICA SCRIPTA

An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

(2020) Mohammed Al-Smadi et al.   COMMUNICATIONS IN THEORETICAL PHYSICS

nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications

(2020) G. Pang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

PFNN: A penalty-free neural network method for solving a class of second-order boundary-value problems on complex geometries

(2020) Hailong Sheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations

(2020) Xiaowei Jin et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Conformable derivative approach to anomalous diffusion

(2018) H.W. Zhou et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Stochastic solutions of conformable fractional Cauchy problems

(2017) Yücel Çenesiz et al.   STATISTICS & PROBABILITY LETTERS

Application of Legendre Neural Network for solving ordinary differential equations

(2016) Susmita Mall et al.   APPLIED SOFT COMPUTING

Fractional Newton mechanics with conformable fractional derivative

(2015) Won Sang Chung   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Properties of the Katugampola fractional derivative with potential application in quantum mechanics

(2015) Douglas R. Anderson et al.   JOURNAL OF MATHEMATICAL PHYSICS

Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method

(2014) Shaher Momani et al.   Abstract and Applied Analysis

A new definition of fractional derivative

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