Results 21 to 30 of about 2,240 (300)
Advances in Difference Equations, 2021 We investigate the existence of solutions for a system of Riemann–Liouville fractional differential equations with nonlinearities dependent on fractional integrals, subject to coupled nonlocal boundary conditions which contain various fractional ...
Rodica Luca
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Representation of Fractional Operators Using the Theory of Functional Connections
Mathematics, 2023 This work considers fractional operators (derivatives and integrals) as surfaces f(x,α) subject to the function constraints defined by integer operators, which is a mandatory requirement of any fractional operator definition. In this respect, the problem
Daniele Mortari
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Some fractional proportional integral inequalities
Journal of Inequalities and Applications, 2019 In the last few years, various researchers studied the so-called conformable integrals and derivatives. Based on that notion some authors used modified conformable derivatives (proportional derivatives) to generate nonlocal fractional integrals and ...
Gauhar Rahman +3 more
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Positive Solutions of a Singular Fractional Boundary Value Problem with r-Laplacian Operators
Fractal and Fractional, 2021 We investigate the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with r-Laplacian operators and nonnegative singular nonlinearities depending on fractional integrals, supplemented ...
Alexandru Tudorache, Rodica Luca
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General Fractional Calculus: Multi-Kernel Approach
Mathematics, 2021 For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in 2021. In Luchko works, the proposed approaches to formulate this calculus are based either on the power of one Sonin kernel or the convolution of one ...
Vasily E. Tarasov
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Maximal Domains for Fractional Derivatives and Integrals [PDF]
Mathematics, 2020 The purpose of this short communication is to announce the existence of fractional calculi on precisely specified domains of distributions. The calculi satisfy desiderata proposed above in Mathematics 7, 149 (2019). For the desiderata (a)–(c) the examples are optimal in the sense of having maximal domains with respect to convolvability of distributions.
R. Hilfer, T. Kleiner
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E. R. LOVE TYPE LEFT FRACTIONAL INTEGRAL INEQUALITIES
Проблемы анализа, 2020 Here first we derive a general reverse Minkowski integral inequality. Then motivated by the work of E. R. Love [4] on integral inequalities we produce general reverse and direct integral inequalities.
G. A. Anastassiou
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Partial, Composite Fractional Operators, and Their Properties and Applications
MATEC Web of Conferences, 2017 The paper discusses the properties of the partial fractional integrals, the partial fractional derivatives, and the composite fractional integrals and derivatives.
Deng Kaiying, Deng Jingwei, Li Suduo
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Editorial for Special Issue “Fractional Calculus and Special Functions with Applications”
Fractal and Fractional, 2021 The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications due to their properties of interpolation between operators of integer order [...]
Mehmet Ali Özarslan +2 more
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Hadamard fractional integrals and derivatives with respect to functions
CQD Revista Eletrônica Paulista de Matemática, 2022 In this article, we study generalized fractional derivatives and integrals that contain kernels a generalized logarithm depending on a positive continuous function increasing.
Ana Paula Perovano +1 more
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