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Smoking dynamics with media awareness to control the prevalence of bad effect through fractional operator study. [PDF]
MethodsXFarman M +5 more
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Mild and classical solutions to fractional Cauchy problem on time scales. [PDF]
HeliyonAl-Omari A, Al-Saadi H.
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denim: an R package for deterministic compartmental models with flexible dwell time distributions
Ong TP, Phan ATQ, Ha LM, Choisy M.
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Some Singular Integro-Differential Equations
Funkcialaj Ekvacioj, 2023Summary: We are devoted with a singular integro-differential problem. Required conditions on spaces and operators are given guaranteeing existence and uniqueness of solutions. We make use of \textit{W. M. Greenlee}'s idea [Ann. Inst. Fourier 18, No. 2, 135--191 (1968; Zbl 0175.40006)] to rewrite the singular integro-differential problem in a regular ...
Horani, Mohammed Al +2 more
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The Volterra Theory of Integro-Differential Equations
Journal of Mathematical Sciences, 2023This paper considers a Volterra integro-differential equation with logarithmic kernel in some weighted spaces on a finite interval with power singularities at the endpoints of the interval. Using the properties of the zeros of a polynomial related to the kernel function, the authors derive solvability results for the considered integro-differential ...
Soldatov, Alexandre, Zaripov, Sarvar
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Reconstructing a fractional integro‐differential equation
Mathematical Methods in the Applied Sciences, 2020We are concerned with the inverse problem of reconstructing a fractional integro‐differential equation from a single observation of its solution at an arbitrary point. We first prove the global existence of solutions generated by suitable initial conditions.
Amin Boumenir +2 more
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