Results 31 to 40 of about 492,476 (332)
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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A practical guide to Prabhakar fractional calculus [PDF]
Fractional Calculus and Applied Analysis, 2020 The Mittag–Leffler function is universally acclaimed as the Queen function of fractional calculus. The aim of this work is to survey the key results and applications emerging from the three-parameter generalization of this function, known as the ...
A. Giusti +6 more
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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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A Guide to Special Functions in Fractional Calculus
, 2021 Dedicated to the memory of Professor Richard Askey (1933–2019) and to pay tribute to the Bateman Project. Harry Bateman planned his “shoe-boxes” project (accomplished after his death as Higher Transcendental Functions, Vols.
V. Kiryakova
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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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Extended incomplete Riemann-Liouville fractional integral operators and related special functions
Electronic Research Archive, 2022 In this study, we introduce the extended incomplete versions of the Riemann-Liouville (R-L) fractional integral operators and investigate their analytical properties rigorously.
Mehmet Ali Özarslan, Ceren Ustaoğlu
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On Weyl fractional calculus [PDF]
Proceedings of the American Mathematical Society, 1979 The Weyl fractional calculus is applied in developing the Laplace transform of t q f ( t ) {t^q}f(t) , for all values of q. Also, a generalized Taylor’s formula in Weyl fractional calculus is established.
Raina, R. K., Koul, C. L.
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