Results 11 to 20 of about 1,191 (162)

On Some Operators Involving Hadamard Derivatives [PDF]

, 2013
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core   +1 more source

A local discontinuous Galerkin method for the Caputo–Hadamard Burgers equation: Analysis and parameter estimation [PDF]

AIP Advances
This paper develops and analyzes a fully discrete numerical scheme for the time-fractional Burgers equation with a Caputo–Hadamard derivative, which incorporates a logarithmic kernel particularly suitable for modeling ultraslow diffusion processes.
Zhen Wang, Xiaoting Li
doaj   +1 more source

Fractional Euler-Lagrange differential equations via Caputo derivatives [PDF]

, 2011
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given.
AA Kilbas, AB Malinowska, AB Malinowska, AB Malinowska, AB Malinowska, B Brunt van, D Baleanu, D Baleanu, D Baleanu, D Mozyrska, D Mozyrska, DFM Torres, F Riewe, GSF Frederico, GSF Frederico, GSF Frederico, I Podlubny, NRO Bastos, NRO Bastos, OP Agrawal, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Almeida, R Magin, RA El-Nabulsi, RA El-Nabulsi, TM Atanacković   +29 more
core   +3 more sources

Stability analysis of solutions and existence theory of fractional Lagevin equation

Alexandria Engineering Journal, 2021
The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions.
Amita Devi, Anoop Kumar, Thabet Abdeljawad, Aziz Khan   +3 more
doaj   +1 more source

Boundary value problem for Caputo-Hadamard fractional differential equations [PDF]

Surveys in Mathematics and its Applications, 2017
The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain.
Yacine Arioua , Nouredine Benhamidouche
doaj  

New study on Caputo-Hadamard type fractional Neutral Integro-Differential equations [PDF]

Mathematics and Computational Sciences
In this work, we focus on the analysis of fractional-order neutral integro-differential equations using the Caputo-Hadamard fractional derivative. We employed the topological degree method (TDM) to derive results and solutions for these equations.
Emimal Navajothi, Selvi Sellappan
doaj   +1 more source

An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique

Fractal and Fractional, 2021
In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem, Lamya Almaghamsi, Faris Alzahrani   +2 more
doaj   +1 more source

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