Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
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Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation
We propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
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Application of the homotopy perturbation method for weakly singular Volterra integral equations
In this paper, we study a weakly singular Volterra integral equation of the second kind with the kernel $\displaystyle K(x,t) = \left (\frac{t}{x}\right )^\nu\frac{1}{t}$, for some $\nu >0$ and $x\in[0,X]$.
Ahmet Altürk
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Fredholm boundary-value problem for the system of fractional differential equations. [PDF]
Boichuk O, Feruk V.
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In this work, we classify the extensions of Hermite–Hadamard(H–H)–Fejer-type inequalities for the fractional operators involving nonlinear kernel. By utilizing these inequalities, we develop many kinds of fractional integral (FI) inequalities.
Muhammad Younis +3 more
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Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics. [PDF]
Bortz DM, Messenger DA, Dukic V.
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A singular ODE related to quasilinear elliptic equations
We consider a quasilinear elliptic problem with the natural growth in the gradient. Existence, non-existence, uniqueness, and qualitative properties of positive solutions are obtained. We consider both weak and strong solutions.
Luka Korkut +2 more
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Jan AR.
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Background. To date, the process of pressure transfer from the artery to the hydro-cuff has not been studied. Therefore, obtaining theoretical knowledge about the physical processes underlying the formation of oscillations in it, with radial limitations ...
A.N. Tynda +3 more
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Numerical discussion of phase-lag mixed integral equations with general discontinuous kernels
In this research, the effect of phase-lag time on an integro-differential equation in position and time is studied in L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
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