[PDF] Top 20 A shooting method for singular nonlinear second order Volterra integro differential equations

... 6 1969, 365-374 [8] NA, T.Y., Computanonal Methods in Engineering Boundary Value Problems, Academic Press, New York 1979 [9] SHAW, R.E and GAREY, L.E., Monotonic approximations for nonli[r] ... See full document

... known, integro-differential equations find many applications in various mathema- tical problems, see Cordunean ’ s book [1], Guo et ...for integro-differential equations and ... See full document

... The main goal of this article is to solve second-order FVIDEs in the Hilbert space W 2 3 [a, b] ⊕ W 2 .3 [a, b] under the assumption of strongly generalized differentiability. More precisely, we provide a ... See full document

... solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary ...fractional integro-differential equation to a type of second ... See full document

... the differential transform method to solve systems of integro-differential equations of fractional ...the method is a reliable technique to handle linear fractional ... See full document

... of integro-differential equations has been studied by Maleknejad and Mahmoudi ...solving integro-differential equation was investigated by Rashed (2004), Wazwaz (2006) used the modified ... See full document

... fractional Volterra integral equation of the first kind, the solution technique of local fractional Volterra integral equation of the first kind except Yang–Laplace transform method are not ... See full document

... the nonlinear oscillation of earthquakes [11], viscoelastic materials [2], colored noise [22], solid mechanics [30], fluid-dynamic traffic [12], continuum and statistical mechanics [21], economics [3], anomalous ... See full document

... these equations becomes more and more important ...iteration method [9, 32], homotopy perturbation method [4, 5, 10], Adomian’s decomposition method [7], homotopy analysis method [8], ... See full document

... a Volterra integral equation of the second ...perturbed Volterra integro-differential equations arise in many physical and biological problems (see, ...perturbed Volterra integral ... See full document

... ential equations (FPDEs) have become of increasing interest for the researchers to gen- eralize the integer-order differential ...transform method (MHATM) [], modified homotopy anal- ysis Laplace ... See full document

... computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential ... See full document

... the differential transformation and its applicability for various kinds of differential and integral equations are given in ...of differential transformation will be presented ... See full document

... the second part of ...decomposition method for solving nonlinear Volterra-Fredholm in- tegro differential equations of the second kind is illustrated by studying the ... See full document

... pantograph-type Volterra integro-differential equation [44], linear Fredholm integro-differential equation [45, 46], linear integro- differential equation [47], parabolic-type Volterra ... See full document

... Applications in many important fields, like fracture mechanics [5], elastic contact problems [1], the theory of porous filtering [4] and combined infrared radiation and molecular conduction [3], contain integral and ... See full document

... these equations and many other interesting methods for the approximated solution, stability procedures and applications are available in earlier literatures [1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, ... See full document

... of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric ...iteration method embodied in the recent ... See full document

... to nonlinear Volterra- Fredholm integro-differential ...these equations can also appear when transforming a differen- tial equation into an integral equation ...of equations, the ... See full document

... Generalized differential transform method (GDTM) is applied to solve linear integro-differential volterra –fredholm equation of fractional order ...the order of the ... See full document