Results 31 to 40 of about 577,075 (200)
Caputo–Hadamard Fractional Derivatives of Variable Order [PDF]
Numerical Functional Analysis and Optimization, 2016 ABSTRACTIn this article, we present three types of Caputo–Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given.
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On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives [PDF]
Mathematical Problems in Engineering, 2016 This paper is concerned with the solution for impulsive differential equations with Hadamard fractional derivatives. The general solution of this impulsive fractional system is found by considering the limit case in which impulses approach zero. Next, an example is provided to expound the theoretical result.
Xianmin Zhang +5 more
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Hadamard fractional integrals and derivatives with respect to functions
C.Q.D. - Revista Eletrônica Paulista de Matemática, 2022 In this article, we study generalized fractional derivatives and integrals that contain kernels a generalized logarithm depending on a positive continuous function increasing. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives.
Ana Paula Perovano +1 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series [PDF]
Advances in Difference Equations, 2020 AbstractIn this paper a general framework is presented on some operational properties of Caputo modification of Hadamard-type fractional differential operator along with a new algorithm proposed for approximation of Hadamard-type fractional integral using Haar wavelet method.
Rashida Zafar +2 more
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BOUNDARY VALUE PROBLEM FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH HADAMARD FRACTIONAL INTEGRAL AND ANTI-PERIODIC CONDITIONS [PDF]
, 2021 The aim of this work is to study a class of boundary value problem including a fractional order differential equation involving the Caputo-Hadamard fractional derivative. Suffcient conditions will be presented to guarantee the existence and uniqueness of
Boutiara, Abdelatif +2 more
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, 2020 yesIn a Banach space, we consider a Cauchy type problem with a left Hadamard fractional derivative of order α ∈ (0,1) and a Cauchy problem with a regularized Hadamard fractional derivativeBelgorod State ...
Manaenkova, T. A., Glushak, A. V.
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Fractal and Fractional, 2022 As a follow-up to the inherent nature of Hadamard-Type Fractional Integro-differential problem, little is known about some asymptotic behaviors of solutions.
Ahmad Mugbil, Nasser-Eddine Tatar
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
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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 +1 more
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