Results 131 to 140 of about 383,064 (247)

Hamilton-Jacobi formulation of systems within Caputo's fractional derivative [PDF]

arXiv, 2007
In this paper we develop a fractional Hamilton-Jacobi formulation for discrete systems in terms of fractional Caputo derivatives. The fractional action function is obtained and the solutions of the equations of motion are recovered. An example is studied in details.
arxiv  

Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives

Advances in Mechanical Engineering, 2016
In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo–Fabrizio ...
Dumitru Baleanu, Bahram Agheli, Maysaa Mohamed Al Qurashi   +2 more
doaj   +1 more source

Homotopy Perturbation ρ-Laplace Transform Method and Its Application to the Fractional Diffusion Equation and the Fractional Diffusion-Reaction Equation

Fractal and Fractional, 2019
In this paper, the approximate solutions of the fractional diffusion equations described by the fractional derivative operator were investigated. The homotopy perturbation Laplace transform method of getting the approximate solution was proposed.
Ndolane Sene, Aliou Niang Fall
doaj   +1 more source

Modeling and analysis of the dynamics of novel coronavirus (COVID-19) with Caputo fractional derivative. [PDF]

Results Phys, 2021
Ali A, Alshammari FS, Islam S, Khan MA, Ullah S.   +4 more
europepmc   +1 more source

Nonlinear Langevin Equation of Hadamard-Caputo Type Fractional Derivatives with Nonlocal Fractional Integral Conditions [PDF]

, 2014
Jessada Tariboon, Sotiris K. Ntouyas, Chatthai Thaiprayoon   +2 more
openalex   +1 more source

Transformation Property of the Caputo Fractional Differential Operator in Two Dimensional Space [PDF]

arXiv, 2013
The transformation property of the Caputo fractional derivative operator of a scalar function under rotation in two dimensional space is derived. The study of the transformation property is essential for the formulation of fractional calculus in multi-dimensional space.
arxiv  

Mathematical analysis of SIRD model of COVID-19 with Caputo fractional derivative based on real data. [PDF]

Results Phys, 2021
Nisar KS, Ahmad S, Ullah A, Shah K, Alrabaiah H, Arfan M.   +5 more
europepmc   +1 more source

Some integral inequalities via Caputo and Liouville fractional integral operators for m-convex functions [PDF]

arXiv
This short study consists of two parts, firstly we obtain some inequalities on Caputo Fractional derivatives using the elementary inequalities. Secondly we establish several new inequalities including Caputo fractional derivatives for m-convex functions. In general, in this work we obtain upper bounds for the left sides of Lemma 1[10] and lemma 2[20].
arxiv  

Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives [PDF]

, 2015
Chun Wang, Tianzhou Xu
openalex   +1 more source

A Gronwall inequality for a general Caputo fractional operator [PDF]

arXiv, 2017
In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo--Hadamard fractional derivative operators. We study some properties of the operator, namely we prove that it is the inverse operation of a generalized fractional integral.
arxiv