Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions [PDF]
Journal of Function Spaces, 2021 In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng +5 more
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Lyapunov-type inequalities for differential equation with Caputo–Hadamard fractional derivative under multipoint boundary conditions [PDF]
Journal of Inequalities and Applications, 2021 In this work, we establish Lyapunov-type inequalities for the fractional boundary value problems with Caputo–Hadamard fractional derivative subject to multipoint and integral boundary conditions. As far as we know, there is no literature that has studied
Youyu Wang, Yuhan Wu, Zheng Cao
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Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative [PDF]
Journal of Inequalities and Applications, 2022 In this study, some new Lyapunov-type inequalities are presented for Caputo-Hadamard fractional Langevin-type equations of the forms D a + β H C ( H C D a + α + p ( t ) ) x ( t ) + q ( t ) x ( t ) = 0 , 0 < a < t < b , $$ \begin{aligned} &{}_{H}^{C}D_{a +
Wei Zhang, Jifeng Zhang, Jinbo Ni
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New Fractional Hermite–Hadamard-Type Inequalities for Caputo Derivative and MET-(p, s)-Convex Functions with Applications [PDF]
Fractal and FractionalThis article investigates fractional Hermite–Hadamard integral inequalities through the framework of Caputo fractional derivatives and MET-(p,s)-convex functions.
Muhammad Sajid Zahoor +2 more
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, 2019 This paper investigates the regional gradient controllability for ultra-slow diffusion processes governed by the time fractional diffusion systems with a Hadamard-Caputo time fractional derivative.
Cai, Ruiyang +3 more
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Results in PhysicsIn this study, the Caputo–Hadamard derivative is fittingly used to define a fractional form of the Rosenau–Hyman equation. To solve this equation, the orthonormal logarithmic Bernstein functions (BFs) are created as a suitable basis for handling this ...
M.H. Heydari +3 more
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$$\mathscr {S}\mathscr {E}\mathscr {I}\mathscr {A}\mathscr {R}\mathscr {S}$$ S E I A R S model for analyzing $$\mathscr {C}\mathscr {O}\mathscr {V}\mathscr {I}\mathscr {D}$$ C O V I D -19 pandemic process via $$\uppsi $$ ψ -Caputo fractional derivative and numerical simulation [PDF]
Scientific ReportsThe objective of this study is to develop the $$\mathscr {S}\mathscr {E}\mathscr {I}\mathscr {A}\mathscr {R}\mathscr {S}$$ S E I A R S epidemic model for $$\mathscr {C}\mathscr {O}\mathscr {V}\mathscr {I}\mathscr {D}$$ C O V I D - $${\textbf {19}}$$ 19 ...
Behnam Mohammadaliee +2 more
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Numerical solution of coupled fractional Ginzburg–Landau equations under Caputo–Hadamard derivative
Results in PhysicsThis paper introduces a high-performance spectral collocation method for solving coupled fractional Ginzburg–Landau equations involving the Caputo–Hadamard (CH) derivative. The numerical scheme employees two families of shifted Chebyshev polynomials (CPs)
F. Rostami +3 more
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Langevin Equations with Generalized Proportional Hadamard-Caputo Fractional Derivative. [PDF]
Comput Intell Neurosci, 2021 Barakat MA +3 more
europepmc +3 more sources
Results in Physics, 2021 This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan +2 more
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