Results 41 to 50 of about 14,005 (202)
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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Mathematics, 2020 Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness
Maria Dobriţoiu
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Analysis of nonlinear oscillators using volterra series in the frequency domain Part I : convergence limits [PDF]
, 2009 The Volterra series representation is a direct generalisation of the linear convolution integral and has been widely applied in the analysis and design of nonlinear systems, both in the time and the frequency domain.
Billings, S.A., Li, L.M.
core
High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels [PDF]
, 1974 The solution of the Volterra integral equation, \[ ( * )\qquad x(t) = g_1 (t) + \sqrt {t}g_2 (t) + \int _0^t \frac {K(t,s,x(s))} {\sqrt {t - s} } ds, \quad 0 \leqq t \leqq T,\] where $g_1 (t)$, $g_2 (t)$ and $K(t,s,x)$ are smooth functions, can be ...
de Hoog, Frank, Weiss, Richard
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Applied Stochastic Models in Business and Industry, Volume 42, Issue 3, May/June 2026.ABSTRACT Traditional short‐rate models introduce volatility directly into the instantaneous rate via Brownian shocks. However, empirical data suggest that short‐term interest rates exhibit smoother behavior than such models imply. We propose a two‐factor Gaussian short‐rate model in which the short rate is a deterministic exponential filter of a ...
Allan Jonathan da Silva
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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On a nonlinear Volterra integral equation
Journal of Differential Equations, 1973 Also note the comments. made on (1.1) in [2]. More recently Eq. (1.1) has been analyzed in [I and 31 under hypotheses related to those of Theorem I. Comparing the present result with the results of [3] we observe the following. In addition to the full hypothesis of Theorem 1 above, certain smoothness conditions were imposed on a(t) and f(i) in [3 ...
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On the Existence of the Solutions for Some Nonlinear Volterra Integral Equations [PDF]
Abstract and Applied Analysis, 2013 We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval[0,a]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness.
Özdemir, İsmet +2 more
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Ecology Letters, Volume 29, Issue 5, May 2026.The processes driving community assembly are broadly categorised into deterministic and stochastic ones. With a multi‐replicated experimental design, we quantified the extent to which stochasticity at initial stages of community assembly could drive divergence into alternative ecological trajectories.
Ibuki Hayashi +2 more
wiley +1 more source
Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Universal Journal of Mathematics and Applications, 2020 In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
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