Results 1 to 10 of about 18,553 (218)
Fractal and Fractional, 2022 This paper studies the existence of extremal solutions for a nonlinear boundary value problem of Bagley–Torvik differential equations involving the Caputo–Fabrizio-type fractional differential operator with a non-singular kernel.
Haiyong Xu, Lihong Zhang, Guotao Wang
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On Delta and Nabla Caputo Fractional Differences and Dual Identities [PDF]
Discrete Dynamics in Nature and Society, 2013 We investigate two types of dual identities for Caputo fractional differences. The first type relates nabla and delta type fractional sums and differences.
Thabet Abdeljawad
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Partial Differential Equations in Applied Mathematics, 2022 In this work, rich complex dynamics are observed in new fractional-order hyperchaotic systems when employing a modified Caputo-operator based on the extended Gamma function. Thus, the new parameter of the extended Gamma function provides higher degree of
A.E. Matouk, Bachioua Lahcene
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Analysing discrete fractional operators with exponential kernel for positivity in lower boundedness
AIMS Mathematics, 2022 In this paper we study the positivity analysis problems for discrete fractional operators with exponential kernel, namely the discrete Caputo-Fabrizio operators.
Sarkhel Akbar Mahmood +4 more
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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On Strongly Convex Functions via Caputo–Fabrizio-Type Fractional Integral and Some Applications
Journal of Mathematics, 2021 The theory of convex functions plays an important role in the study of optimization problems. The fractional calculus has been found the best to model physical and engineering processes.
Qi Li +4 more
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Fractal and Fractional, 2023 In this article, by combining a recent critical point theorem and several theories of the ψ-Caputo fractional operator, the multiplicity results of at least three distinct weak solutions are obtained for a new ψ-Caputo-type fractional differential system
Yankai Li +3 more
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Fractal and Fractional, 2023 In this paper, I utilize the Laplace residual power series method (LRPSM) along with a novel iteration technique to investigate the Fitzhugh-Nagumo equation within the framework of the Caputo operator.
Azzh Saad Alshehry
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Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator
Complexity, 2023 In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran +5 more
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Alexandria Engineering Journal, 2021 In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding hybrid nanoparticles. Titanium dioxide (TiO2) and silver (Ag) nanoparticles were liquefied in water (H2O) (base fluid) to make a hybrid nanofluid.
Muhammad Danish Ikram +3 more
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