Results 31 to 40 of about 38,304 (201)
Boundary value problem for Caputo-Hadamard fractional differential equations [PDF]
Surveys in Mathematics and its Applications, 2017 The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain.
Yacine Arioua , Nouredine Benhamidouche
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Generalized Taylor formulas involving generalized fractional derivatives
, 2017 In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $\displaystyle{f(x) = \sum_{j=0}^m c_j^{\alpha,\rho}\left(x^\rho-a^\rho\right)^{j\alpha} + e_m(x)}$ \noindent with $m\in \mathbb{N}$, $c_j^{\alpha,\rho}\in
Benjemaa, Mondher
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AIMS Mathematics, 2021 The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r∈(1,2] on infinite intervals.
Mouffak Benchohra +3 more
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, 2017 In this paper we show several connections between special functions arising from generalized COM-Poisson-type statistical distributions and integro-differential equations with varying coefficients involving Hadamard-type operators. New analytical results
Garra, Roberto +2 more
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A generalization of the Lomnitz logarithmic creep law via Hadamard fractional calculus
, 2017 We present a new approach based on linear integro-differential operators with logarithmic kernel related to the Hadamard fractional calculus in order to generalize, by a parameter $\nu \in (0,1]$, the logarithmic creep law known in rheology as Lomnitz ...
Garra, Roberto +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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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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Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
General Letters in Mathematics, 2022 In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order α ∈ ( 1,2 ] .
Abduljawad K. Anwar, S. Murad
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The fractional Dodson diffusion equation: a new approach
, 2018 In this paper, after a brief review of the general theory concerning regularized derivatives and integrals of a function with respect to another function, we provide a peculiar fractional generalization of the $(1+1)$-dimensional Dodson's diffusion ...
Garra, Roberto +2 more
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The General Solution of Impulsive Systems with Caputo-Hadamard Fractional Derivative of Order
, 2016 Motivated by some preliminary works about general solution of impulsive system with fractional derivative, the generalized impulsive differential equations with Caputo-Hadamard fractional derivative of () are further studied by analyzing the limit case ...
Xianmin Zhang +5 more
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