Results 11 to 20 of about 48,942 (223)

On Caputo Fractional Derivatives via Convexity [PDF]

Kragujevac Journal of Mathematics, 2020
Summary: In this paper some estimations of Caputo fractional derivatives via convexity have been presented. By using convexity of any positive integer order differentiable function some novel results are given.
G. Farid
openaire   +3 more sources

Hermite–Jensen–Mercer Type Inequalities for Caputo Fractional Derivatives

Journal of Function Spaces, 2020
In this article, certain Hermite–Jensen–Mercer type inequalities are proved via Caputo fractional derivatives. We established some new inequalities involving Caputo fractional derivatives, such as Hermite–Jensen–Mercer type inequalities, for ...
Jinchao Zhao, Saad Ihsan Butt, Jamshed Nasir, Zhaobo Wang, Iskander Tlili   +4 more
doaj   +2 more sources

Some Hermite–Jensen–Mercer type inequalities for k-Caputo-fractional derivatives and related results

Advances in Difference Equations, 2020
In this paper, certain Hermite–Hadamard–Mercer type inequalities are proved via k-Caputo fractional derivatives. We established some new k-Caputo fractional derivatives inequalities with Hermite–Hadamard–Mercer type inequalities for differentiable ...
Shupeng Zhao, Saad Ihsan Butt, Waqas Nazeer, Jamshed Nasir, Muhammad Umar, Ya Liu   +5 more
doaj   +2 more sources

Wirtinger-type inequalities for Caputo fractional derivatives via Taylor’s formula

Journal of Inequalities and Applications
In this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional ...
Samet Erden, Mehmet Zeki Sarıkaya, Burçin Gokkurt Ozdemir, Neslihan Uyanık   +3 more
doaj   +2 more sources

On the General Solutions of Some Non-Homogeneous Div-Curl Systems with Riemann–Liouville and Caputo Fractional Derivatives

Fractal and Fractional, 2021
In this work, we investigate analytically the solutions of a nonlinear div-curl system with fractional derivatives of the Riemann–Liouville or Caputo types.
Briceyda B. Delgado, Jorge E. Macías-Díaz   +1 more
doaj   +2 more sources

Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives

Advances in Difference Equations, 2018
The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in Jarad et al. (J. Nonlinear Sci. Appl. 10:2607–2619, 2017).
Y. Y. Gambo, R. Ameen, F. Jarad, T. Abdeljawad   +3 more
doaj   +2 more sources

On the generalized fractional derivatives and their Caputo modification

The Journal of Nonlinear Sciences and Applications, 2017
Summary: In this manuscript, we define the generalized fractional derivative on \(AC^n_\gamma [a, b]\), the space of functions defined on \([a,b]\) such that \(\gamma^{n-1}f\in AC[a, b]\), where \(\gamma=x^{1-p}\frac{d}{dx}\). We present some of the properties of generalized fractional derivatives of these functions and then we define their Caputo ...
Jarad, F., Abdeljawad, T., Baleanu, D.
openaire   +4 more sources

Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives [PDF]

Comput. Biol. Medicine, 2023
We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction phase of anesthesia, incorporating the ψ-Caputo fractional derivative.
M. Zaitri, Hanaa Zitane, Delfim F. M. Torres   +2 more
semanticscholar   +1 more source

Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

, 2021
A newly proposed p -Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives.
M. Matar, M. Abbas, J. Alzabut, Mohammed K. A. Kaabar, S. Etemad, S. Rezapour   +5 more
semanticscholar   +1 more source

The existence, uniqueness, and stability results for a nonlinear coupled system using ψ-Caputo fractional derivatives

Boundary Value Problems, 2023
In this article, we use coupled boundary conditions on a nonlinear system with ψ -Caputo fractional derivatives to derive new conclusions on the solution’s existence, uniqueness, and stability.
P. R, Pushpendra Kumar, V. Govindaraj, Marina Murillo-Arcila   +3 more
semanticscholar   +1 more source