Results 21 to 30 of about 377,310 (165)

Hermite-Hadamard-type Inequalities for Increasing Convex-along-rays Functions [PDF]

, 2001
Some inequalities of Hermite-Hadamard type for increasing convexalong-rays functions are given. Examples for particular domains including triangles, squares, and the part of the unit disk in the first quadrant are also ...
Dragomir, Sever S, Dutta, J, Rubinov, Alexander M   +2 more
core   +5 more sources

On a Caputo-type fractional derivative

, 2019
In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola.
Daniela S. Oliveira, Edmundo Capelas de Oliveira   +1 more
core   +2 more sources

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

, 2020
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.
Kou, Chunhai, Ge, Fudong, Cai, Ruiyang, Chen, Yangquan   +3 more
core   +1 more source

Boundary value problems for Caputo-Hadamard fractional differential inclusions in Banach spaces [PDF]

, 2022
summary:In this article, we study the existence of solutions in a Banach space of boundary value problems for Caputo-Hadamard fractional differential inclusions of order $r \in (0,1]$
Hammou, Amouria, Henderson, Johnny, Hamani, Samira   +2 more
core   +1 more source

Numerical Methods for Caputo–Hadamard Fractional Differential Equations with Graded and Non-Uniform Meshes

, 2021
We consider the predictor-corrector numerical methods for solving Caputo–Hadamard fractional differential equations with the graded meshes logtj=loga+logtNajNr,j=0,1,2,…,N with a≥1 and r≥1, where loga=logt0logt1⋯logtN=logT is a partition of [logt0,logT].
Yubin Yan, Charles Wing Ho Green, Yanzhi Liu   +2 more
core   +1 more source

Variational Problems Involving a Caputo-Type Fractional Derivative [PDF]

, 2017
We study calculus of variations problems, where the Lagrange function depends on the Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo–Hadamard fractional derivatives, with ...
Almeida, Ricardo
core   +1 more source

Multiterm Impulsive Caputo–Hadamard Type Differential Equations of Fractional Variable Order

Axioms, 2022
In this study, we deal with an impulsive boundary value problem (BVP) for differential equations of variable fractional order involving the Caputo–Hadamard fractional derivative.
Amar Benkerrouche, Mohammed Said Souid, Gani Stamov, Ivanka Stamova   +3 more
doaj   +1 more source

Applications of Fixed Point Theory to Investigate a System of Fractional Order Differential Equations

Journal of Function Spaces, 2021
We investigate a nonlinear system of pantograph-type fractional differential equations (FDEs) via Caputo-Hadamard derivative (CHD). We establish the conditions for existence theory and Ulam-Hyers-type stability for the underlying boundary value system ...
Zareen A. Khan, Israr Ahmad, Kamal Shah
doaj   +1 more source

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

Properties of the Caputo-Fabrizio Fractional Derivative [PDF]

, 2020
In this paper, we investigate some properties related Caputo-Fabrizio (CF) fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator.
D. Lau-Alfonso, L., Rodr ́ıguez Ricard, M., A. Mboro Nchama, G., M. Leo ́n Mec ́ıas, A.   +3 more
core   +1 more source