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Rocky Mountain Journal of Mathematics, 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.
Serap Kemali +2 more
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NEW RESULTS FOR PARABOLIC EQUATION ON THE SPHERE WITH CAPUTO–FABRIZIO OPERATOR
Fractals, 2022In this paper, we are interested in studying the initial value problem for parabolic problem associated with the Caputo–Fabrizio derivative. We deal the problem in two cases: linear inhomogeneous case and nonlinearity source term. For the linear case, we derive the convergence result of the mild solution when the fractional order [Formula: see text ...
Nguyễn Anh Tuấn +3 more
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Solving FDEs with Caputo‐Fabrizio derivative by operational matrix based on Genocchi polynomials
Mathematical Methods in the Applied Sciences, 2018We introduce a new approach to solve a type of fractional order differential equations without singularity. For fractional integration, we obtain the operational matrix through Genocchi polynomials. Some examples are presented to test the applicability and efficiency of the technique.
Sedighe Sadeghi Roshan +2 more
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Mathematics and Computers in Simulation, 2023
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Assad Sajjad +3 more
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Assad Sajjad +3 more
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2020 IEEE 21st International Conference on Computational Problems of Electrical Engineering (CPEE), 2020
Using the Caputo-Fabrizio operator, the influence of substitution in the two-mass system linear model an integer derivatives on fractional derivatives is shown. Parameters changing of fractional PID controller in comparison with classical PID controller is analyzed.
Andriy Lozynskyy +3 more
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Using the Caputo-Fabrizio operator, the influence of substitution in the two-mass system linear model an integer derivatives on fractional derivatives is shown. Parameters changing of fractional PID controller in comparison with classical PID controller is analyzed.
Andriy Lozynskyy +3 more
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Челябинский физико-математический журнал
The unique solvability of linear inverse coefficient problems for the evolutionary equation in a Banach space with the Caputo Fabrizio derivative is studied. An operator at the unknown function in the equation is assumed to be bounded, the equation is endowed with the Cauchy condition.
Nagumanova, Anna Viktorovna +1 more
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The unique solvability of linear inverse coefficient problems for the evolutionary equation in a Banach space with the Caputo Fabrizio derivative is studied. An operator at the unknown function in the equation is assumed to be bounded, the equation is endowed with the Cauchy condition.
Nagumanova, Anna Viktorovna +1 more
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Numerical Methods for Partial Differential Equations, 2021
AbstractThe evolutionary dynamics of cross‐reaction–diffusion equations of predator–prey type are investigated in the sense of fractional operator. In the models, we replace the classical time and spatial derivatives with the Caputo–Fabrizio and Riesz fractional derivatives, respectively. The nature of the resulting problem (is nonlinear, nonlocal, and
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AbstractThe evolutionary dynamics of cross‐reaction–diffusion equations of predator–prey type are investigated in the sense of fractional operator. In the models, we replace the classical time and spatial derivatives with the Caputo–Fabrizio and Riesz fractional derivatives, respectively. The nature of the resulting problem (is nonlinear, nonlocal, and
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The epidemic COVID-19 model via Caputo–Fabrizio fractional operator
Waves in Random and Complex Media, 2022Ajay Kumar +2 more
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Existence and continuity results for Kirchhoff parabolic equation with Caputo–Fabrizio operator
Chaos, Solitons & Fractals, 2023Nguyen Huy Tuan +2 more
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New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
Fractal and Fractional, 2022Soubhagya Kumar Sahoo +2 more
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