Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems [PDF]
Mathematics, 2021 In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings.
Shahram Rezapour +5 more
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Combination Synchronization of Fractional Systems Involving the Caputo–Hadamard Derivative [PDF]
Mathematics, 2021 The main aim of this paper is to investigate the combination synchronization phenomena of various fractional-order systems using the scaling matrix. For this purpose, the combination synchronization is performed by considering two drive systems and one ...
Abdelhameed M. Nagy +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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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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$$\mathscr {S}\mathscr {E}\mathscr {I}\mathscr {A}\mathscr {R}\mathscr {S}$$ 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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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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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions
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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A Survey on Recent Results on Lyapunov-Type Inequalities for Fractional Differential Equations
Fractal and Fractional, 2022 This survey paper is concerned with some of the most recent results on Lyapunov-type inequalities for fractional boundary value problems involving a variety of fractional derivative operators and boundary conditions.
Sotiris K. Ntouyas +2 more
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A comprehensive review of the Hermite-Hadamard inequality pertaining to fractional differential operators [PDF]
Surveys in Mathematics and its Applications, 2023 A review on Hermite-Hadamard type inequalities connected with a different classes of convexities and fractional differential operators is presented. In the various classes of convexities it includes, classical convex functions, quasi-convex functions, p ...
Muhammad Tariq +3 more
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Local density of Caputo-stationary functions in the space of smooth functions [PDF]
, 2016 We consider the Caputo fractional derivative and say that a function is Caputo-stationary if its Caputo derivative is zero. We then prove that any $C^k\big([0,1]\big)$ function can be approximated in $[0,1]$ by a a function that is Caputo-stationary in $[
Bucur, Claudia
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