Results 11 to 20 of about 38,570 (167)
Degenerate exponential integral function and its properties [PDF]
Arab Journal of Mathematical SciencesPurpose – In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties ...
Kwara Nantomah
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The Integrating Factor Method in Banach Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 The so called integrating factor method, used to find solutions of ordinary differential equations of a certain type, is well known. In this article, we extend it to equations with values in a Banach space.
Josefina Alvarez +2 more
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Calculus of Variations and Partial Differential Equations, 2022 AbstractWe discuss Meyers-Serrin’s type results for smooth approximations of functions$$b=b(t,x): \mathbb {R}\times \mathbb {R}^n\rightarrow \mathbb {R}^m$$b=b(t,x):R×Rn→Rm, with convergence of an energy of the form$$\begin{aligned} \int _{\mathbb {R}}\int _{\mathbb {R}^n} w(t,x) \varphi \left( |Db(t,x)|\right) \textrm{d} x \textrm{d} t\,, \end{aligned}
Ambrosio Luigi +3 more
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Asymptotic Expansion of the Modified Exponential Integral Involving the Mittag-Leffler Function
Mathematics, 2020 We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156−1169].
Richard Paris
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IEEE Access, 2016 This paper is concerned with the exponential stability analysis for time-delay systems. First, two new weighted integral inequalities are presented based on the auxiliary function-based integral inequalities.
Cheng Gong, Guopu Zhu, Ligang Wu
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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Integral inequalities for exponentially harmonically convex functions via fractional integral operators [PDF]
Miskolc Mathematical Notes, 2021 The main aim of this paper is to derive some new integral inequalities related to Hermite-Hadamard type by using Riemann-Liouville fractional integral operator for the class of exponentially harmonically convex functions. The formal technique of this paper may enhance further research in this field.
Rashid, Saima +3 more
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KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT
Barekeng, 2011 Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of ...
Monalisa E. Rijoly +2 more
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Mathematics, 2019 In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel.
Xia Wu, JinRong Wang, Jialu Zhang
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function
Demonstratio Mathematica, 2023 In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
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