Results 71 to 80 of about 582,712 (204)
Functional impulsive fractional differential inclusions involving the Caputo-Hadamard derivative
Mathematica MoravicaThis paper establishes sufficient conditions for the existence of solutions to fractional impulsive functional differential inclusions, utilizing fixed-point theorems for multivalued mappings.
Irguedi, Aida, Hamani, Samira
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An Approach for Numerical Solutions of Caputo–Hadamard Uncertain Fractional Differential Equations
, 2022 This paper is devoted to investigating a numerical scheme for solving the Caputo–Hadamard uncertain fractional differential equations (UFDEs) arising from nonlinear uncertain dynamic systems.
Yiyu Liu, Yuanguo Zhu, Hanjie Liu
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Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa +4 more
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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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Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions [PDF]
Mathematica Moravica, 2019 In this paper, we use some background concerning multivalued functions and set-valued analysis, the fixed point theorem of Bohnenblust-Karlin and the method of upper and lower solutions to investigate the existence of solutions for a class of boundary ...
Abbas Saïd +3 more
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On numerical techniques for solving the fractional logistic differential equation
Advances in Difference Equations, 2019 This paper studied the existence and uniqueness of the solution of the fractional logistic differential equation using Hadamard derivative and integral. Previous work has shown that there is not an exact solution to this fractional model.
Yves Yannick Yameni Noupoue +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi +2 more
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Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator
, 2023 In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions.
Aziz Khan +4 more
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Observer Design for Fractional-Order Polynomial Fuzzy Systems Depending on a Parameter
Fractal and FractionalFor fractional-order systems, observer design is remarkable for the estimation of unavailable states from measurable outputs. In addition, the nonlinear dynamics and the presence of parameters that can vary over different operating conditions or time ...
Hamdi Gassara +3 more
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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
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