Results 11 to 20 of about 545,475 (201)

On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative [PDF]

Abstract and Applied Analysis, 2012
This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem.
M. D. Qassim, K. M. Furati, N.-E. Tatar
doaj   +6 more sources

A Discretization of the Hadamard fractional derivative [PDF]

Mathematical Sciences and Applications E-Notes, 2016
This is a preprint of a paper whose final and definite form is in "J. Math. Sci. Appl. E-Notes"
ALMEİDA, Ricardo, BASTOS, Nuno R. O.
openaire   +7 more sources

Fractional Scale Calculus: Hadamard vs. Liouville [PDF]

Fractal and Fractional, 2023
A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced.
Manuel D. Ortigueira, Gary W. Bohannan
doaj   +2 more sources

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
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ON A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM INCLUDING A HADAMARD FRACTIONAL DERIVATIVE WITH p-LAPLACIAN [PDF]

Journal of Integral Equations and Applications
In this paper, a nonlinear fractional boundary value problem is examined, involving Hadamard fractional derivative operator with a \(p\)-Laplacian, complemented with local and integral boundary conditions. The nonlinear function and the boundary conditions also depend on the Hadamard fractional derivative operators.
Cerdik, Tugba Senlik
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New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications

Fractal and Fractional
This article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions.
Muhammad Sajid Zahoor, Amjad Hussain, Yuanheng Wang   +2 more
doaj   +2 more sources

Existence and stability of fractional differential equations with Hadamard derivative

, 2013
In this paper, we study nonlinear fractional differential equations with Hadamard derivative and Ulam stability in the weighted space of continuous functions. Firstly, some new nonlinear integral inequalities with Hadamard type singular kernel are established, which can be used in the theory of certain classes of fractional differential equations ...
Wang, JinRong, Zhou, Yong, Medveď, Milan   +2 more
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Random solutions to a system of fractional differential equations via the Hadamard fractional derivative

The European Physical Journal Special Topics, 2017
In this work, we use a new random fixed point theorem in vector metric spaces due to Sinacer et al. [M.L. Sinacer et al., Random Oper. Stoch. Equ. 24, 93 (2016)] to prove the existence of solutions and the compactness of solution sets of a random system of fractional differential equations via the Hadamard-type derivative.
Mostefa Seghier, Abdelghani Ouahab, Johnny Henderson   +2 more
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On Finite Part Integrals and Hadamard-Type Fractional Derivatives

Journal of Computational and Nonlinear Dynamics, 2018
This paper is devoted to investigating the relation between Hadamard-type fractional derivatives and finite part integrals in Hadamard sense; that is to say, the Hadamard-type fractional derivative of a given function can be expressed by the finite part integral of a strongly singular integral, which actually does not exist.
Li Ma, Changpin Li
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Integral Boundary Value Problems for Implicit Fractional Differential Equations Involving Hadamard and Caputo-Hadamard fractional Derivatives [PDF]

Kragujevac Journal of Mathematics, 2021
In this paper, we examine the existence and uniqueness of integral boundary value problem for implicit fractional differential equations (IFDE’s) involving Hadamard and Caputo-Hadamard fractional derivative. We prove the existence and uniqueness results by utilizing Banach and Schauder’s fixed point theorem.
Karthikeyan, P., Arul, R.
openaire   +2 more sources