Results 31 to 40 of about 11,408,380 (251)
Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
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General Non-Markovian Quantum Dynamics
Entropy, 2021 A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Vasily E. Tarasov
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Coordination of Classical and Dynamic Inequalities Complying on Time Scales
European Journal of Mathematical Analysis, 2023 In this research article, we present extensions of some classical inequalities such as Schweitzer, Pólya–Szegö, Kantorovich and Greub–Rheinboldt inequalities of fractional calculus on time scales. To investigate generalizations of such types of classical
Muhammad Jibril Shahab Sahir
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An operational calculus formulation of fractional calculus with general analytic kernels
, 2022 Fractional calculus with analytic kernels provides a general setting of integral and derivative operators that can be connected to Riemann-Liouville fractional calculus via convergent infinite series.
Fernandez, Arran, Rani, Noosheza
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Operational Calculus for the General Fractional Derivatives of Arbitrary Order
Mathematics, 2022 In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin.
Maryam Al-Kandari +2 more
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Science metrics on fractional calculus development since 1966 [PDF]
, 2013 During the last fifty years the area of Fractional Calculus verified a considerable progress.
Galhano, Alexandra +2 more
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A stochastic fractional calculus with applications to variational principles [PDF]
, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Zine, Houssine +3 more
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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On bivariate fractional calculus with general univariate analytic kernels
, 2023 We introduce a general bivariate fractional calculus, defined using a kernel based on an arbitrary univariate analytic function with an appropriate bivariate substitution.
Isah, Sunday Simon +2 more
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A practical guide to Prabhakar fractional calculus [PDF]
, 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 ...
Popolizio, Marina +20 more
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