Results 91 to 100 of about 377,360 (199)
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This paper is devoted to the investigation of new fractional integral (FI) inequalities involving Caputo k‐fractional derivatives (CKFDs) for functions whose higher order derivatives satisfy the generalized strongly modified h‐convexity (GSMHC) condition. By combining the analytical properties of generalized convexity with the framework of k‐fractional
Mohammed Said Souid +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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Existence and continuous dependence of nonlocal final value problem with Caputo-Hadamard derivative
Azerbaijan Journal of MathematicsSummary: In this paper, we demonstrate the existence of a global solution to the problems with the final condition containing the Caputo-Hadamard derivative of order \(p \in (0,1)\). In particular, the uniqueness of the solution is proven when the source function satisfies the Lipschitz condition.
Tuan, N. H., Tri, V. V.
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A Boundary Value Problem with Caputo–Hadamard Fractional Derivative: Analysis and Numerical Solution
European Journal of Pure and Applied MathematicsWe investigate a boundary-value problem governed by a fractional differential equation, which is non-linear. The fractional derivative is the combined Caputo-Hadamard fractional derivative. We establish the required conditions for the existence and uniqueness of solutions utilising the two standard fixed-point theorems, Banach fixed-point and Sadovskii
Afrah Hasan, Shayma Murad
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An analogue of Leibniz’s rule for Hadamard derivatives and their application
Қарағанды университетінің хабаршысы. Математика сериясыThis paper explores new analogues of the Leibniz rule for Hadamard and Caputo–Hadamard fractional derivatives. Unlike classical derivatives, fractional ones have a strong nonlocal character, meaning that the value of the derivative at a given point ...
A.G. Smadiyeva
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Dynamics of the Caputo fractional derivative [PDF]
In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space.
Murillo-Arcila, Marina +5 more
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Boundary Value ProblemsIn this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative ...
Mesfin Teshome Beyene +2 more
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Results in Applied MathematicsIn 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 +2 more
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Fractal and FractionalThe aim of this article is to introduce analytical and approximate techniques to obtain the solution of time-fractional Navier–Stokes equations. This proposed technique consists is coupling the homotopy perturbation method (HPM) and Laplace transform (LT)
Awatif Muflih Alqahtani +3 more
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In this paper, a high-order approximation to Caputo-type time-fractional diffusion equations involving an initial-time singularity of the solution is proposed.
Kumari, Shweta +3 more
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