Results 31 to 40 of about 1,241 (197)

A note on Hadamard fractional differential equations with varying coefficients and their applications in probability

, 2017
In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto, Orsingher, Enzo, Polito, Federico   +2 more
core   +1 more source

Simultaneous determination of a source term and diffusion concentration for a multi-term space-time fractional diffusion equation

Mathematical Modelling and Analysis, 2021
An inverse problem of determining a time dependent source term along with diffusion/temperature concentration from a non-local over-specified condition for a space-time fractional diffusion equation is considered.
Salman A. Malik, Asim Ilyas, Arifa Samreen   +2 more
doaj   +1 more source

Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations

, 2018
In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-boundary-value problem for linear and nonlinear time-fractional diffusion ...
Kirane, Mokhtar, Torebek, Berikbol T.
core   +1 more source

Impulsive fractional differential equations with state-dependent delay involving the Caputo-Hadamard derivative

Filomat, 2023
In this paper, we investigate the existence of solutions for a class of initial value problems for impulsive Caputo-Hadamard fractional differential equations with state-dependent delay.
Amouria Hammou, Samira Hamani, Johnny Henderson   +2 more
openaire   +1 more source

A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus

, 2017
We present a new approach based on linear integro-differential operators with logarithmic kernel related to the Hadamard fractional calculus in order to generalize, by a parameter $\nu \in (0,1]$, the logarithmic creep law known in rheology as Lomnitz ...
Garra, Roberto, Mainardi, Francesco, Spada, Giorgio   +2 more
core   +1 more source

Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions

International Journal of Analysis and Applications, 2023
In this paper, we investigate the existence and uniqueness of solutions for functional impulsive fractional differential equations and integral boundary conditions. Our results are based on some fixed point theorems. Finally, we provide an example to illustrate the validity of our main results.
Aida Irguedi, Khadidja Nisse, Samira Hamani   +2 more
openaire   +2 more sources

Generalized Taylor formulas involving generalized fractional derivatives

, 2017
In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $\displaystyle{f(x) = \sum_{j=0}^m c_j^{\alpha,\rho}\left(x^\rho-a^\rho\right)^{j\alpha} + e_m(x)}$ \noindent with $m\in \mathbb{N}$, $c_j^{\alpha,\rho}\in
Benjemaa, Mondher
core   +1 more source

The general Caputo–Katugampola fractional derivative and numerical approach for solving the fractional differential equations

Alexandria Engineering Journal
In this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek, Sahar Ahmed ldris, Fahd Jarad   +2 more
doaj   +1 more source

Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative

, 2019
This paper investigates the regional gradient controllability for ultra-slow diffusion processes governed by the time fractional diffusion systems with a Hadamard-Caputo time fractional derivative.
Cai, Ruiyang, Chen, YangQuan, Ge, Fudong, Kou, Chunhai   +3 more
core   +1 more source

Mittag‐Leffler stability of neural networks with Caputo–Hadamard fractional derivative

Mathematical Methods in the Applied Sciences
In this paper, a Hopfield‐type neural network system with Caputo–Hadamard fractional derivative is discussed. The importance of the existence of the equilibrium point in the analysis of artificial neural networks is well known. Another important investigation is the stability properties. So, the stability of a neural network system is dealt with in the
Elif Demirci, Fatma Karakoç, Aysen Kütahyalıoglu   +2 more
openaire   +1 more source