Results 181 to 190 of about 18,553 (218)

Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators

Chaos, Solitons & Fractals, 2020
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Hatıra Günerhan, Hemen Dutta, Mustafa Ali Dokuyucu, Waleed Adel   +3 more
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Certain inequalities for \(s\)-convex functions via Caputo fractional derivative and Caputo-Fabrizio integral operator

2021
Summary: In this paper, several integral inequalities for the functions whose derivatives are \(s\)-convex functions in the fourth sense are obtained by means of Caputo fractional derivative and Caputo-Fabrizio integral operator. Also the Hermite-Hadamard type inequalities for \(s\)-convex functions and their products are stated via Caputo-Fabrizio ...
Kemali, Serap, Adilov, Gabil, Işık, Ilknur Yeşilce, Tınaztepe, Gültekin   +3 more
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A critical analysis of the Caputo–Fabrizio operator

Communications in Nonlinear Science and Numerical Simulation, 2018
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Ortigueira, Manuel D., Tenreiro Machado, J.   +1 more
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Several New Integral Inequalities via Caputo k-Fractional Derivative Operators

Asian-European Journal of Mathematics, 2021
In this paper, we establish several new integral inequalities involving Caputo [Formula: see text]-fractional derivatives for [Formula: see text]-quasi-convex and [Formula: see text]-Godunova–Levin convex. In order to obtain our results, we use some classical inequalities such as Hölder’s inequality and its power mean and weighted versions.
Ozdemir, Muhamet Emin, Celik, Baris, Umar, Muhammad, Butt, Saad Ihsan   +3 more
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Fundamental results to the weighted Caputo-type differential operator

Applied Mathematics Letters, 2021
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Liu, Jian-Gen, Yang, Xiao-Jun, Feng, Yi-Ying, Geng, Lu-Lu   +3 more
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FPGA realization of Caputo and Grünwald-Letnikov operators

2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST), 2017
This paper proposes a hardware platform implementation on FPGA for two fractional-order derivative operators. The Grunwald-Letnikov and Caputo definitions are realized for different fractional orders. The realization is based on non-uniform segmentation algorithm with a variable lookup table.
Mohammed F. Tolba, Amr M. AbdelAty, Lobna A. Said, Ahmed S. Elwakil, Ahmad Taher Azar, Ahmed H. Madian, Adel Ounnas, Ahmed G. Radwan   +7 more
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Caputo Fractional Approximation Using Positive Sublinear Operators

2018
Here we consider the approximation of functions by sublinear positive operators with applications to a big variety of Max-Product operators under Caputo fractional differentiability. Our study is based on our general fractional results about positive sublinear operators. We produce Jackson type inequalities under simple initial conditions.
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Fractional Newton‐type integral inequalities for the Caputo fractional operator

Mathematical Methods in the Applied Sciences
In this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of Newton‐type inequalities for various classes of functions by employing the Caputo fractional ...
Yukti Mahajan, Harish Nagar
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Nonlinear equations with degenerate operator at fractional Caputo derivative

Mathematical Methods in the Applied Sciences, 2016
At first, the existence of a unique solution for the Cauchy problem to nondegenerate fractional differential equation was proved. These results were used for research of the unique solvability for the initial Cauchy and Showalter–Sidorov problems to differential equations in Banach spaces with degenerate operator at fractional Caputo derivative in ...
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Delsarte equation for Caputo operator of fractional calculus

Fractional Calculus and Applied Analysis, 2022
Emamirad, Hassan, Rougirel, Arnaud
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