Results 31 to 40 of about 38,570 (167)
Optimal homotopy asymptotic method for solving Volterra integral equation of first kind
Alexandria Engineering Journal, 2014 In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind.
N. Khan +3 more
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Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃
Demonstratio Mathematica, 2023 The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation of order n, with convolution-type kernel.
Inoan Daniela, Marian Daniela
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Sums of Powers and Special Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their ...
Boyadzhiev Khristo N.
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Advances in Difference Equations, 2021 This paper deals with Al-Salam fractional q-integral operator and its application to certain q-analogues of Bessel functions and power series. Al-Salam fractional q-integral operator has been applied to various types of q-Bessel functions and some power ...
Shrideh Al-Omari +2 more
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Journal of Inequalities and Applications, 2018 In the present paper, we investigate majorization properties for the class Mβα(p,γ) $M_{\beta}^{\alpha}(p,\gamma)$ of uniformly starlike functions and the class Nβα(p,θ) $N_{\beta}^{\alpha}(p,\theta)$ of spiral-like functions related to an exponential ...
Huo Tang, Guantie Deng
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Discrete complementary exponential and sine integral functions
Demonstratio Mathematica, 2023 AbstractDiscrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each. The difficulties in extending these definitions to other common trigonometric integral functions are discussed.
Assaf Samer, Cuchta Tom
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Validity and error analysis of calculating matrix exponential function and vector product
Nonlinear EngineeringIn this study, an efficient calculation method of matrix exponential function and vector product is proposed to reduce the calculation error. This method is based on the flexible exponential integral scheme; using B-series theory and two-color tree ...
Tu Lihui, Hong Huanjie
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On weighted exponential-Gompertz distribution: properties and application
Journal of Taibah University for Science, 2019 In this paper, we introduce a new distribution generated by an integral transform of the probability density function of the weighted exponential distribution. This distribution is called the weighted exponential-Gompertz (WE-G). Its hazard rate function
Ahmed M. T. Abd El-Bar, I. E. Ragab
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Besov functions and vanishing exponential integrability
Illinois Journal of Mathematics, 2003 The main result of the paper reads as follows. There is a number \(\beta >0\) such that for all elements \(u \in B^s_{pq} (\mathbb{R}^n)\) of the indicated Besov spaces with \(1< p,q < \infty\) and \(sp=n\), \[ \lim_{r \to 0} r^{-n} \int\limits_{| x-x^0| \leq r} \left[ \exp \left( \beta | u(x) - u(x^0)| ^{1/q'} \right) - 1 \right] \, dx =0 \] for all \(
Adams, David R., Hurri-Syrjänen, Ritva
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Certain integrals involving logarithmic and exponential functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper we have evaluated the integrals urn:x-wiley:01611712:media:ijmm603126:ijmm603126-math-0001 and urn:x-wiley:01611712:media:ijmm603126:ijmm603126-math-0002 for all n = 1, 2, 3, …. Some applications of the results are discussed and an open problem is posed.
M. Aslam Chaudhry, M. Ahmad
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