Results 41 to 50 of about 615,568 (200)
On impulsive partial differential equations with Caputo-Hadamard fractional derivatives [PDF]
Advances in Difference Equations, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Analysis and Applications, 2023 In this manuscript, we incorporate Caputo-Hadamard derivatives in impulsive fractional differential equations to obtain a new class of impulsive fractional form. Further, the existence of solutions to the proposed problem has been inferred under a state-dependent delay and suitable hypotheses in phase spaces.
Hasanen A. Hammad +2 more
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Advances in Mathematical Physics, 2017 Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper. An equivalent integral equation with some undetermined constants is obtained for this fractional order system with ...
Xianzhen Zhang +4 more
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Differential equations with tempered Ψ-Caputo fractional derivative [PDF]
, 2021 In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative.
Eva Brestovanská +3 more
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, 2023 Various integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator.
Yeşi̇lce Işık, İlknur +3 more
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Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative [PDF]
, 2020 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.
Kou, Chunhai +3 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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Stability analysis of solutions and existence theory of fractional Lagevin equation
Alexandria Engineering Journal, 2021 The present article describes fractional Langevin equations (FDEs) invloving Caputo Hadamard-derivative of independent orders connected with non-local integral and non-periodic boundary conditions.
Amita Devi +3 more
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New study on Caputo-Hadamard type fractional Neutral Integro-Differential equations [PDF]
Mathematics and Computational SciencesIn this work, we focus on the analysis of fractional-order neutral integro-differential equations using the Caputo-Hadamard fractional derivative. We employed the topological degree method (TDM) to derive results and solutions for these equations.
Emimal Navajothi, Selvi Sellappan
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Properties of the Caputo-Fabrizio Fractional Derivative [PDF]
, 2020 In this paper, we investigate some properties related Caputo-Fabrizio (CF) fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator.
D. Lau-Alfonso, L. +3 more
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