Results 11 to 20 of about 7,287 (246)
On the solutions of some fractional q-differential equations with the Riemann-Liouville fractional q-derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus.
S. Shaimardan, N.S. Tokmagambetov
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Enhancing the Mathematical Theory of Nabla Tempered Fractional Calculus: Several Useful Equations
Fractal and Fractional, 2023 Although many applications of fractional calculus have been reported in literature, modeling the physical world using this technique is still a challenge. One of the main difficulties in solving this problem is that the long memory property is necessary,
Yiheng Wei +3 more
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Fractal and Fractional, 2022 In this study, the variable order fractional calculus of the hidden variable fractal interpolation function is explored. It extends the constant order fractional calculus to the case of variable order. The Riemann–Liouville and the Weyl–Marchaud variable
Valarmathi Raja, Arulprakash Gowrisankar
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Some trapezoid and midpoint type inequalities via fractional ( p , q ) $(p,q)$ -calculus
Advances in Difference Equations, 2021 Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q ...
Pheak Neang +4 more
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Foundations of generalized Prabhakar-Hilfer fractional calculus with applications
Cubo, 2021 Here we introduce the generalized Prabhakar fractional calculus and we also combine it with the generalized Hilfer calculus. We prove that the generalized left and right side Prabhakar fractional integrals preserve continuity and we find tight upper ...
George A. Anastassiou
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Journal of Marine Science and Engineering, 2021 An active disturbance rejection control based on fractional calculus is proposed to improve the motion performance and robustness of autonomous underwater vehicle (AUV).
Junhe Wan +6 more
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FRACTAL RADIOPHYSICS. Part 3. FRACTIONAL CALCULUS IN ELECTRODYNAMICS [PDF]
Radio Physics and Radio AstronomySubject and Purpose. At the beginning of the 21st century, a fundamentally new scientific direction was formed, currently known as fractal radiophysics.
O. V. Lazorenko, L. F. Chernogor
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Research on Rock Creep Characteristics Based on the Fractional Calculus Meshless Method
Advances in Civil Engineering, 2018 The application of fractional calculus in the rheological problems has been widely accepted. In this study, the constitutive relationship of the generalized Kelvin model based on fractional calculus was studied, and the meshless method was introduced so ...
Gang Peng, Zhanqing Chen, Jiarui Chen
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N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION
Проблемы анализа, 2018 We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper.
R. Yilmazer, O. Ozturk
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