[PDF] Top 20 Study on integro-differential equation with generalized p-Laplacian operator

... most of the existing methods in the literature used to investigate such problems are based on the finite element method, hence our technique is new in tackling integro-differential equations. We shall consider the ... See full document

... its study has been restricted mainly to mathematicians till a few decades ...and study of various areas us- ing fractional derivatives quickly gained ... See full document

... we study the existence, uniqueness and stability solution of integro-differential equations of second order with the operators by using both method Picard approximation and Banach fixed point ...the ... See full document

... vague study of the numerical computation. Precise study of the numerical computation of the PIDE regarding consistency, stability and comparison with empirical data, this is what we intend to do in future ... See full document

... the generalized p-Laplacian operator arise from many physical phenomena, such as reaction-diffusion problems, petroleum extrac- tion, flow through porous media and non-Newtonian fluids, just to ... See full document

... We study the extremal solutions of a class of fractional integro-differential equation with integral conditions on infinite intervals involving the p-Laplacian ...differential ... See full document

... the study of periodic solutions for neutral differential equations has at- tracted the attention of many researchers; see [2–9, 14, 16–18, 20, 21] and the references cited ...neutral operator (A 1 u)(t) := ... See full document

... Differential equations of fractional order have been recently proved to be valuable tools in the modeling of many phenomena in various fields of science and engineering. Indeed, we can find numerous applications ... See full document

... By using the continuation theorem of coincidence degree theory, we study the existence of solutions of Duffing type fractional differential equations with a p-Laplacian operator. Under certain ... See full document

... we study the existence of positive solutions for boundary value problem ...first study which discuss fractional p-Laplacian with lower and upper solution ...fractional ... See full document

... to study the Liénard equation in the literature, including topological degree methods [12, 17], Mawhin’s coincidence degree theorem [1, 3, 4, 11], Massera’s theorem [21], the Manásevich–Mawhin theorem on ... See full document

... [6] X. Li and Z. Zhang, ”Periodic solutions for second order differential equations with a singular nonlinearity,” Nonlinear Analysis: Theory, Methods & Applications, vol. 69, no. 11, pp. 3866–3876, 2008. [7] ... See full document

... In the recent years, numerous papers have been concentrating on the develop- ment of analytical and numerical methods for fractional order integro-differential equations. In this paper, we consider a Caputo ... See full document

... Nonlocal problems can arise in studying various problems of mathematical biology, predicting soil moisture, problems of plasma. Note that nonlocal conditions of the type (1.3) take place in modeling the problems of the ... See full document

... the differential transform method to solve systems of integro-differential equations of fractional ...fractional integro-differential ... See full document

... An efficient multigrid finite-differences scheme for solving elliptic Fredholm par- tial integro-differential equations (PIDE) was developed and investigated. This scheme combines a FAS multigrid scheme for ... See full document

... For equation (.) with p =  and N > , Han and Gao [] showed that q = m is a critical exponent for occurrence of extinction or ...sidered equation (.) with p =  and a linear ... See full document

... The monotone iterative technique is used to solve the problem of a kind of nonlinear four-point Caputo fractional differential equation with p-Laplacian operator. Under cer- tain nonlinear ... See full document

... lies on the properties of the Kuratowski noncompactness measure and the Sadovskii fixed point theorem. Obviously, BVP (2) is more general than the problems discussed in some recent literature (such as [28–30]). Firstly, ... See full document

... The Avery–Peterson fixed point theorem is used to solve the problem of a kind of non- linear mixed fractional differential equation with a p-Laplacian operator. Under certain nonlinear growth ... See full document