Results 11 to 20 of about 388,923 (185)
Fractional advection differential equation within Caputo and Caputo–Fabrizio derivatives [PDF]
Advances in Mechanical Engineering, 2016 In this research, we applied the variational homotopic perturbation method and q-homotopic analysis method to find a solution of the advection partial differential equation featuring time-fractional Caputo derivative and time-fractional Caputo–Fabrizio ...
Dumitru Baleanu +2 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
Applied Mathematics Letters, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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On applications of Caputo k-fractional derivatives [PDF]
Advances in Difference Equations, 2019 This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid +5 more
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Fractional Telegraph equation with the Caputo derivative
Fractal and Fractional, 2023 The Cauchy problem for the telegraph equation $(D_{t}^{\rho })^{2}u(t)+2\alpha D_{t}^{\rho }u(t)+Au(t)=f(t ...
Saparbayev, Rajapboy, Ashurov, Ravshan
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Modeling and simulation of the novel coronavirus in Caputo derivative [PDF]
Results in Physics, 2020 La enfermedad por coronavirus o COVID-19 es una enfermedad infecciosa causada por un coronavirus recién descubierto. La pandemia de COVID-19 es un pánico incitante para la salud humana y la economía, ya que hasta el momento no existe una vacuna o un tratamiento eficaz.
Muhammad Awais +4 more
openaire +4 more sources
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
doaj +2 more sources
On the sectorial property of the Caputo derivative operator [PDF]
Applied Mathematics Letters, 2015 In this note, we establish the sectorial property of the Caputo fractional derivative operator of order α∈(1,2) with a zero Dirichlet boundary ...
Ito, K, Takeuchi, T, Jin, B
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Alexandria Engineering JournalIn this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek +2 more
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Caputo and Atangana-Baleanu-Caputo Fractional Derivative Applied to Garden Equation
Turkish Journal of Science, 2020 In this study, the garden equation which is a nonlinear partial differential equation is discussed. First, we will expand the garden equation to the Caputo derivative and Atangana-Baleanu fractional derivative in the sense of Caputo.
Mustafa Ali Dokuyucu
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Incomplete Caputo fractional derivative operators
Advances in Difference Equations, 2018 The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral ...
Mehmet Ali Özarslan, Ceren Ustaoglu
doaj +2 more sources