Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals

Approximate solution of singular integral equations

K e y w o r d s I n t e g r a l equations, Cauchy type, Singular kernels. 1. I N T R O D U C T I O N Singular integral equations of the first kind, with a Cauchy type singular kernel, over a finite interval can be represented by the general equation f f _ l f(t)[ko(t,x)+k(t,x)]dt = g(x), 1 < x < 1, (1.1) 1 where ko(t, x) x) t) 0) (1.2) t x ' and k are regular square in tegrab le funct ions of t...

Bounds for Singular Fractional Integrals and Related Fourier Integral Operators

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which a...

Numerical Solution of Integral Equations with Finite Part Integrals

We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...