Results 91 to 100 of about 577,075 (200)

On some integral inequalities using Hadamard fractional integral

, 2020
In this paper, using Hadamard fractional integral, we establish two main new result on fractional integral inequalities by considering the extended Chebyshev functional in case of synchronous function.
Deepak B Pachpatte, Vaijanath L Chinchane   +1 more
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Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator

International Journal of Differential Equations, 2019
Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
doaj   +1 more source

Refined Hermite–Hadamard Type Inequalities via the Extended Atangana–Baleanu Fractional Integral

In this study, we obtain new Hermite-Hadamard type inequalities involving an extended form of the Atangana-Baleanu fractional integral operator having Mittag-Leffler kernels.
Alqahtani, Rubayyi T., Sarikaya, Mehmet Zeki, Alharthi, Nadiyah Hussain, Nadiyah Hussain Alharthi, Rubayyi T. Alqahtani, Mehmet Zeki Sarikaya   +5 more
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Solution of Fractional Differential Equations Involving Hilfer-Hadamard Fractional Derivatives

Indian Journal Of Science And Technology
Objectives: The aim is to establish prerequisite properties for the Hilfer-Hadamard fractional derivatives and address boundary value problems related to fractional polar Laplace and fractional Sturm-Liouville equations involving Hilfer-Hadamard fractional derivatives. Methods: Existing definitions and findings are utilized to obtain the properties for
Lata Chanchlani, Pratibha Manohar, Ajay Sharma, Sangeeta Choudhary   +3 more
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Inverse initial problem for fractional wave equation with the Hadamard fractional derivative

Kazakh Mathematical Journal
This paper investigates an inverse initial problem for a time-fractional wave equation involving the Hadamard fractional derivative. Unlike the more widely studied Caputo and Riemann–Liouville derivatives, the Hadamard derivative is defined via a logarithmic kernel and exhibits distinct analytical features, making it suitable for modeling processes ...
Zukhridin Alimov, Sebti Kerbal
openaire   +1 more source

A numerical framework based on piecewise Chebyshev cardinal functions for fractional integro-differential equations

Results in Applied Mathematics
In this study, we develop an operational matrix technique to address a set of fractional nonlinear integro-differential equations with the Caputo–Hadamard derivative. We utilize a family of the piecewise Chebyshev cardinal functions as basis functions in
S. Mansoori Aref, M.H. Heydari, M. Bayram   +2 more
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Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

Advances in Difference Equations, 2019
We present some results on the existence, uniqueness and Hyers–Ulam stability to the solution of an implicit coupled system of impulsive fractional differential equations having Hadamard type fractional derivative.
Usman Riaz, Akbar Zada, Zeeshan Ali, Yujun Cui, Jiafa Xu   +4 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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Weighted Spectral Properties of a Hadamard-Type Fractional Operator

Journal of Function Spaces
In this paper, we investigate a class of Hadamard-type fractional operators from the viewpoint of functional analysis and spectral theory. The analysis is carried out on the bounded interval 1,R within the weighted Hilbert space L21,R,dx/x, which ...
Muath Awadalla, Maryam G. Alshehri
doaj   +1 more source

Fractional telegraph equation, Mittag-Leffler function, Hilfer derivative, Hadamard fractional derivative, Riesz-Feller space-fractional derivative

, 2015
In this paper we consider space-time fractional telegraph equations, where the time derivatives are intended in the sense of Hilfer and Hadamard while the space fractional derivatives are meant in the sense of Riesz-Feller. We provide the Fourier transforms of the solutions of some Cauchy problems for these fractional equations.
Saxena, Ram K., Garra, R., Orsingher, E.
openaire   +2 more sources