Results 31 to 40 of about 377,310 (165)
Lyapunov Direct Method for Nonlinear Hadamard-Type Fractional Order Systems
Fractal and Fractional, 2022 In this paper, a rigorous Lyapunov direct method (LDM) is proposed to analyze the stability of fractional non-linear systems involving Hadamard or Caputo–Hadamard derivatives.
Changping Dai, Weiyuan Ma
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BOUNDARY VALUE PROBLEM FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH HADAMARD FRACTIONAL INTEGRAL AND ANTI-PERIODIC CONDITIONS [PDF]
, 2021 The aim of this work is to study a class of boundary value problem including a fractional order differential equation involving the Caputo-Hadamard fractional derivative. Suffcient conditions will be presented to guarantee the existence and uniqueness of
Boutiara, Abdelatif +2 more
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A local discontinuous Galerkin method for the Caputo–Hadamard Burgers equation: Analysis and parameter estimation [PDF]
AIP AdvancesThis paper develops and analyzes a fully discrete numerical scheme for the time-fractional Burgers equation with a Caputo–Hadamard derivative, which incorporates a logarithmic kernel particularly suitable for modeling ultraslow diffusion processes.
Zhen Wang, Xiaoting Li
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New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
Fractal and Fractional, 2022 In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type inequality via a new fractional integral operator associated with the Caputo–Fabrizio derivative are presented.
Soubhagya Kumar Sahoo +4 more
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Constructions of complex hadamard matrices via tiling abelian groups [PDF]
, 2007 Applications in quantum information theory and quantum tomography have raised current interest in complex Hadamard matrices. In this note we investigate the connection between tiling of Abelian groups and constructions of complex Hadamard matrices ...
Matolcsi, Máté +2 more
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Fractal and Fractional, 2021 In the current study, a new class of an infinite system of two distinct fractional orders with p-Laplacian operator is presented. Our mathematical model is introduced with the Caputo–Katugampola fractional derivative which is considered a generalization ...
Ahmed Salem +2 more
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Journal of Mathematics, 2022 Fractional Sturm–Liouville and Langevin equations have recently attracted much attention. In this paper, we investigate a coupled system of fractional Sturm–Liouville–Langevin equations with antiperiodic boundary conditions in the framework of Caputo ...
Jinbo Ni, Jifeng Zhang, Wei Zhang
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Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14682-14696, 15 September 2026.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley +1 more source
Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
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On Hermite-Hadamard type Inequalities for Proportional Caputo-Hybrid Operator [PDF]
, 2023 In this study, we present a new generalization of the Hermite-Hadamard type inequalities for convex functions via proportional Caputo-hybrid operator.
Sarıkaya, Mehmet Zeki
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