New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
Fractal and Fractional, 2022 In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type inequality via a new fractional integral operator associated with the Caputo–Fabrizio derivative are presented.
Soubhagya Kumar Sahoo +4 more
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Results in PhysicsThis paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
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Shifted Chebyshev polynomials method for Caputo-Hadamard fractional Ginzburg–Landau equation
Results in PhysicsThis paper introduces a fractional version of the Ginzberg–Landau equation utilizing the Caputo-Hadamard derivative. To address this problem, a numerical method based on the shifted Chebyshev polynomials is developed.
M.H. Heydari +3 more
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Qualitative Analysis of Stochastic Caputo–Katugampola Fractional Differential Equations [PDF]
AxiomsStochastic pantograph fractional differential equations (SPFDEs) combine three intricate components: stochastic processes, fractional calculus, and pantograph terms.
Zareen A. Khan +3 more
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Solvability for a Differential System of Duffing Type Via Caputo-Hadamard Approach [PDF]
, 2022 In this work, we investigate a new sequential coupled differential system of Duffing type. The considered system involves Caputo Hadamard derivatives. Based on both Banach contraction principle and Scheafer fixed point theorems, we establish two results ...
DAHMANI, Zoubir +3 more
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Numerical Methods for Caputo–Hadamard Fractional Differential Equations with Graded and Non-Uniform Meshes [PDF]
, 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 +5 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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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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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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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
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