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In this paper, we study the existence of positive solutions for a system of fractional differential equations with ρ-Laplacian operators, Riemann–Liouville derivatives of diverse orders and general nonlinearities which depend on several fractional ...
Alexandru Tudorache, Rodica Luca
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Positive Solutions of a Singular Fractional Boundary Value Problem with r-Laplacian Operators
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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On a Fractional Differential Equation with r-Laplacian Operator and Nonlocal Boundary Conditions
We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r-Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary ...
Johnny Henderson +2 more
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We study the existence and multiplicity of positive solutions for a system of Riemann–Liouville fractional differential equations with sequential derivatives, positive parameters and sign-changing singular nonlinearities, subject to nonlocal coupled ...
Johnny Henderson +2 more
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Continued $\mathbf{A_2}$-fractions and singular functions
In the article we deepen the metric component of theory of infinite $A_2$-continued fractions $[0;a_1,a_2,...,a_n,...]$ with a two-element alphabet $A_2=\{\frac12,1\}$, $a_n\in A_2$ and establish the normal property of numbers of the segment $I=[\frac12 ...
M.V. Pratsiovytyi +3 more
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Lp-Mapping Properties of a Class of Spherical Integral Operators
In this paper, we study a class of spherical integral operators IΩf. We prove an inequality that relates this class of operators with some well-known Marcinkiewicz integral operators by using the classical Hardy inequality. We also attain the boundedness
Laith Hawawsheh +4 more
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Boundedness of p-Adic Singular Integrals and Multilinear Commutator on Morrey-Herz Spaces
In this paper, we establish the boundedness of classical p-adic singular integrals on Morrey-Herz spaces, as well as the boundedness of multilinear commutator generated by p-adic singular integral operators and Lipschitz functions or by p-adic singular ...
Yanlong Shi, Li Li, Zhonghua Shen
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Singular moduli of rth Roots of modular functions
When singular moduli of Hauptmodules generate ring class fields (resp. ray class fields) of imaginary quadratic fields, using the theory of Shimura reciprocity law, we determine a necessary and sufficient condition for singular moduli of rrth roots of ...
Choi SoYoung
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Characterization of the Local Growth of Two Cantor-Type Functions
The Cantor set and its homonymous function have been frequently utilized as examples for various physical phenomena occurring on discontinuous sets.
Dimiter Prodanov
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Electrochemical double layer capacitors accumulate charges electrostatically and are the unique electrical storage device that can store much more energy than conventional capacitors.
Kashif Ali Abro +3 more
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