Results 61 to 70 of about 5,448,330 (208)
Log-tangent integrals and the Riemann zeta function
Mathematical Modelling and Analysis, 2019 We show that integrals involving the log-tangent function, with respect to any square-integrable function on , can be evaluated by the harmonic series. Consequently, several formulas and algebraic properties of the Riemann zeta function at odd positive ...
Lahoucine Elaissaoui +1 more
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Journal of Surfactants and Detergents, EarlyView.Materials and main results of the study. ABSTRACT Surfactant–polymer (SP) flooding is a promising Enhanced Oil Recovery (EOR) technique, combining improved displacement from surfactants with enhanced sweep efficiency from polymers. This study investigates two SP systems based on the biopolymer scleroxanthan (a blend of sclerotium gum and xanthan gum ...
Raíssa T. R. Carvalho +6 more
wiley +1 more source
JEADV Clinical Practice, EarlyView.ABSTRACT Background Residual limb hyperhidrosis (RLH) is a frequent and debilitating condition among lower‐limb prosthetic users. Although aluminium chloride is recommended first‐line for focal hyperhidrosis, its efficacy in RLH has not previously been evaluated in prospective studies.
Jette Schack +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
AN EXPOSITION OF THE RIEMANN ZETA FUNCTION
, 2023 This thesis is an exposition of the Riemann zeta function. Included are techniques of analytic continuation and relationships to special functions.
Molokach, John +1 more
core
A note on the Riemann ξ-function
Lietuvos Matematikos Rinkinys, 2000 We prove that for σ > 4.5, inf {ℜ(ξ'(σ + it)/ξ(σ + it) ) : - ∞ < t < ∞} = ξ'(σ)/ξ(σ). This improves the result obtained by Lagarias.
Ramūnas Garunkštis
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Riemann-Liouville fractional cosine functions
Electronic Journal of Differential Equations, 2016 In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Zhan-Dong Mei, Ji-Gen Peng
doaj
$\alpha$-Differentiable functions in complex plane
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy–Riemann equations which in case of $\alpha=1$ give classical Cauchy ...
Ronak Pashaei +3 more
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