Caputo–hadamard fractional derivative

Results 71 to 80 of about 582,662 (170)

Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method

Fractal and Fractional
The 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
doaj +1 more source

Solvability of Tripled Langevin Fractional Differential Systems Involving ψ‐Caputo Derivatives Using Fixed Point Techniques

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This work is devoted to the study of a nonlinear tripled system of Langevin‐type fractional differential equations involving generalized ψ‐Caputo derivatives in the setting of Banach spaces. The proposed framework extends several existing results from finite‐dimensional and specialized functional spaces to more general infinite‐dimensional environments.
Hasanen A. Hammad +2 more
wiley +1 more source

Shifted Chebyshev polynomials method for Caputo-Hadamard fractional Ginzburg–Landau equation

Results in Physics
This 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, F. Rostami, M. Bayram, D. Baleanu +3 more
doaj +1 more source

Milne‐Type Inequalities in the Context of Conformable Fractional Multiplicative Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper examines Milne inequalities in the setting of conformal fractional multiplicative integrals, which represent a modern extension of traditional fractional calculus. Drawing on advances in multiplicative analysis and non‐Newtonian calculus, we establish a new integral identity that forms the basis for deriving Milne‐type inequalities for ...
İrem Çay +3 more
wiley +1 more source

On Extended Caputo Fractional Derivative Operator

, 2017
The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions.
Gauhar Rahman +2 more
core +1 more source

Existence and Stability Theorems for Implicit Neutral Fractional Integrodifferential Equations With Computational Results

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates a class of nonlinear implicit neutral integrodifferential equations involving Hilfer–Katugampola fractional operators, which provide an effective framework for describing dynamical systems with memory and hereditary properties. By converting the considered problem into an equivalent fractional integral equation, we show that the
Manal Elzain Mohamed Abdalla +3 more
wiley +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
doaj +1 more source

Fractional Integral Inequalities via Caputo k‐Derivatives for Generalized Strongly Modified h‐Convex Functions

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
wiley +1 more source

Incomplete Caputo fractional derivative operators

, 2018
The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
core +1 more source

Caputo-type modification of the Hadamard fractional derivatives [PDF]

, 2012
Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification
Thabet Abdeljawad +5 more
core +1 more source

caputo–hadamard derivative
mathematics