Results 61 to 70 of about 359,042 (221)
Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14682-14696, 15 September 2026.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
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On Holditch and Liouville theorems
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995 The authors examine the relationship between the Liouville theorem in mechanics and the Holditch theorem in geometry. They first start by introducing well-known results of Hamiltonian mechanics when the Hamiltonian comes from a Riemannian metric \[ ds^2=g_{ij}dx^idx^j \] on the configuration space. In particular, the authors prove that the solutions of
Hacisalihoǧlu, H. H., Amirov, A. Kh.
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CONNECTIONS AND IMPLICATIONS AMONG THE GELFAND-MAZUR, FUNDAMENTAL THEOREM OF ALGEBRA AND LIOUVILLE\u27S THEOREM [PDF]
The study of fundamental theorems in functional analysis often highlights deep interconnections between results that, at first glance, may appear independent.
Sette, Robledo
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Approximate Controllability for Impulsive Riemann-Liouville Fractional Differential Inclusions
Abstract and Applied Analysis, 2013 We study the control systems governed by impulsive Riemann-Liouville fractional differential inclusions and their approximate controllability in Banach space.
Zhenhai Liu, Maojun Bin
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THE FALLACY OF «LIOUVILLE'S THEOREM» AND PREDICTABLE ATMOSPHERE AND CLIMATE
InterCarto. InterGIS, 2016 The paper substantiates the fallacy of «Liouville theorem» and, accordingly, the inability to be based on its prediction of the behavior of the atmosphere and climate.
V. S. Datsko
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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A Liouville theorem for a heat equation and applications for quenching
, 2011 We prove a Liouville Theorem for a semilinear heat equation with absorp- tion term in one dimension.
Nouaili, Nejla
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Existence Results for the Distributed Order Fractional Hybrid Differential Equations
Abstract and Applied Analysis, 2012 We introduce the distributed order fractional hybrid differential equations (DOFHDEs) involving the Riemann-Liouville differential operator of order ...
Hossein Noroozi +2 more
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Bayesian Analysis of Infragravity Edge Waves
Journal of Geophysical Research: Oceans, Volume 131, Issue 9, September 2026.Abstract Infragravity (IG) waves (periods nominally 25–250 s) are generated in shallow water by nonlinear difference‐frequency interactions between shorter period (nominally 4–25 s) incident sea‐swell waves. Previous studies show strong IG reflection from the beach face and detectable IG energy in alongshore‐propagating edge waves.
Cassandra S. Henderson +2 more
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