Results 41 to 50 of about 359,042 (221)
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
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Weak Liouville-Arnol′d Theorems and Their Implications [PDF]
Communications in Mathematical Physics, 2012 This paper studies the existence of invariant smooth Lagrangian graphs for Tonelli Hamiltonian systems with symmetries. In particular, we consider Tonelli Hamiltonians with n independent but not necessarily involutive constants of motion and obtain two theorems reminiscent of the Liouville-Arnold theorem.
Butler, L. T, SORRENTINO, ALFONSO
openaire +4 more sources
Abstract and Applied Analysis, 2013 We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives.
Azizollah Babakhani +2 more
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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
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Mathematics, 2020 Under different criteria, we prove the existence of solutions for sequential fractional differential inclusions containing Riemann–Liouville and Caputo type derivatives and supplemented with generalized fractional integral boundary conditions.
Jessada Tariboon +3 more
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Existence Results for Fractional Differential Equations Under Weak Topology Features
Pan-American Journal of Mathematics, 2022 Using Krasnoselskii type fixed point theorem under the weak topology, we establish some sufficient conditions to ensure the existence of the weak solutions for kinds of initial value problems of fractional differential equations, involving Riemann ...
Ahmed Hallaci +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam +3 more
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A Survey of Nonlinear Sturm-Liouville Equations [PDF]
, 2013 [[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes.
Chen, Chao-Nien
core
Partial Observation of Linear Systems With the Mori–Zwanzig Formalism
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The Mori–Zwanzig (MZ) formalism provides a systematic framework for deriving reduced‐order model of dynamical systems when only part of the state is observed, but its practical use is often limited by the complexity of the resulting computations.
Fan Wang, Peter Benner, Jan Heiland
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The Legendrian Hopf link has exactly two Lagrangian fillings
Journal of Topology, Volume 19, Issue 4, December 2026.Abstract We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all.
Bryce Thomson
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