Results 131 to 140 of about 372,508 (154)

Remarks on Sequential Caputo Fractional Differential Equations with Fractional Initial and Boundary Conditions

Mathematics
In the literature so far, for Caputo fractional boundary value problems of order 2q when ...
Aghalaya S. Vatsala, Bhuvaneswari Sambandham   +1 more
doaj   +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  

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  

Comparative study of integer-order and fractional-order artificial neural networks: Application for mathematical function generation

e-Prime: Advances in Electrical Engineering, Electronics and Energy
This paper investigates the impact of fractional derivatives on the activation functions of an artificial neural network (ANN). Based on the results and analysis, a three-layer backpropagation neural network model with fractional and integer derivatives ...
Manisha Premkumar Joshi, Savita Bhosale, Vishwesh A. Vyawahare   +2 more
doaj  

Stability of solutions to impulsive Caputo fractional differential equations

Electronic Journal of Differential Equations, 2016
Stability of the solutions to a nonlinear impulsive Caputo fractional differential equation is studied using Lyapunov like functions. The derivative of piecewise continuous Lyapunov functions among the nonlinear impulsive Caputo differential equation ...
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj  

Application of Caputo fractional derivative in electronic composer

Electronics and Control Systems, 2012
Дослідження присвячено питанням електронної композиції музики із застосуванням розробленого пакета інформаційного моделювання «Aquarius»
openaire   +2 more sources

A discrete spectral method for time fractional fourth-order 2D diffusion-wave equation involving ψ-Caputo fractional derivative

Results in Applied Mathematics
In this work, the ψ-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing ...
M.H. Heydari, M. Razzaghi
doaj  

On Caputo Fractional Derivatives via Convexity [PDF]

Kragujevac Journal of Mathematics, 2020
openaire   +1 more source

A highly accurate method for multi-term time fractional diffusion equation in two dimensions with ψ-Caputo fractional derivative

Results in Applied Mathematics
In this study, the ψ-Caputo fractional derivative (as a generalization of the classical Caputo derivative where the fractional derivative is defined with respect to the function ψ) is considered to introduce a class of multi-term time fractional 2D ...
M.H. Heydari, M. Razzaghi
doaj  

On the generalized fractional derivatives and their Caputo modification

The Journal of Nonlinear Sciences and Applications, 2017
Dumitru Baleanu, Fahd Jarad, Thabet Abdeljawad   +2 more
openaire   +3 more sources