Results 111 to 120 of about 577,075 (200)

Perturbed functional fractional differential equation of Caputo-Hadamard order [PDF]

In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative.
Hamani Samira
core   +2 more sources

A singularity-inferred operator-consistent fractional PINN for one- and two-dimensional third-kind Caputo–Hadamard auto-convolution Volterra equations with weakly singular kernels

Results in Engineering
We propose a singularity-inferred operator-consistent fractional physics-informed neural network for one- and two-dimensional third-kind Caputo–Hadamard auto-convolution Volterra equations with weakly singular kernels.
Essaid Aourir, Hojatollah Laeli Dastjerdi, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +1 more source

Discrete Legendre polynomials method to solve the coupled nonlinear Caputo–Hadamard fractional Ginzburg–Landau equations

Results in Physics
This 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
doaj   +1 more source

ON MULTIPLICATIVE FRACTIONAL OPERATORS OF HADAMARD AND KATUGAMPOLA TYPES IN G-CALCULUS AND RELATED HERMITE–HADAMARD INEQUALITIES

This paper explores the extension of classical fractional operators to the framework of G-calculus, a non-Newtonian calculus in which differentiation and integration are defined via multiplicative analogs of their classical counterparts.
Abdeljawad, Thabet, BUDAK, HÜSEYİN, Jarad, Fahd, LAKHDARI, Abdelghani, Alqudah, Manar A.   +4 more
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Fractional Diffusion Equations Solved via Log–Laplace Residual Power Series

Wasit Journal for Pure Sciences
In this paper, fractional diffusion equations of Caputo-Hadamard presented as interesting classes of fractional differential equations have not studied before.
Ali Zeki, Sameer Qasim Hasan
doaj   +1 more source

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

, 2017
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas, Y Zhou, A Alsaedi, M Benchohra, JE Lagreg   +4 more
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L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay. [PDF]

Fract Calc Appl Anal, 2022
He BB, Zhou HC, Kou CH.
europepmc   +1 more source

Hermite-Hadamard type inequalities via \((h,m)\)-convexity

In this paper, we establish a novel Hermite-Hadamard inequality for \((h,m)\)-convex functions using Riemann--Liouville fractional integral operators, right and left.
Mubeen Shahid, Kórus Péter, Abbas Akhtar   +2 more
core   +1 more source

Pricing European and Barrier Options in the Fractional Black-Scholes Market [PDF]

The aim of this paper is to obtain the valuation formulas for European and barrier options if the underlying of the option contract is supposed to be driven by a fractional Brownian motion with Hurst parameter greater than 0.5.
Ciprian Necula
core