Results 101 to 110 of about 19,938 (283)
Fractional Integration of the Product of Bessel Functions of the First Kind [PDF]
, 2010 Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09Two integral transforms involving the Gauss-hypergeometric function in the kernels are considered.
Kilbas, Anatoly, Sebastian, Nicy
core
Fractional Noether's Theorem with Classical and Riemann-Liouville Derivatives
, 2012 We prove a Noether type symmetry theorem to fractional problems of the calculus of variations with classical and Riemann-Liouville derivatives. As result, we obtain constants of motion (in the classical sense) that are valid along the mixed classical ...
Frederico, Gastao S. F. +1 more
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Discussion on $(k, s)$-Riemann Liouville fractional integral and applications
Hacettepe Journal of Mathematics and StatisticsIn this paper we present the correct version of Theorem 2.2 in [$(k; s)$-Riemann-Liouville fractional integral and applications, Hacet. J. Math. Stat. \textbf{45} (1), 77 - 89, 2016] and prove it.
Bouharket Benaissa +1 more
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Explicit height estimates for CM curves of genus 2
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey +2 more
wiley +1 more source
Fractal and Fractional, 2019 The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid +3 more
doaj +1 more source
Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
, 2015 Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen +2 more
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On the Leibniz rule and Laplace transform for fractional derivatives
, 2019 Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan +3 more
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A Weighted Variant of Riemann‐Liouville Fractional Integrals on ℝn [PDF]
Abstract and Applied Analysis, 2012 We introduce certain type of weighted variant of Riemann‐Liouville fractional integral on ℝn and obtain its sharp bounds on the central Morrey and λ‐central BMO spaces. Moreover, we establish a sufficient and necessary condition of the weight functions so that commutators of weighted Hardy operators (with symbols in λ‐central BMO space) are bounded on ...
Fu, Zun Wei, Lu, Shan Zhen, Yuan, Wen
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Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell functions.
Swadesh Pal, Roderick Melnik
wiley +1 more source
On post-quantum multiparameter Riemann–Liouville fractional integral inequalities with application
Journal of Inequalities and ApplicationsPost-quantum integral inequalities involving the Riemann–Liouville fractional integral have a significant role in understanding and modeling systems with nonlocal interactions; anomalous diffusion and memory effects make them indispensable for addressing
Sobia Rafeeq +4 more
doaj +1 more source