[PDF] Top 20 Monotone iterative method for two point fractional boundary value problems
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Monotone iterative method for two point fractional boundary value problems
... The monotone iterative technique, combined with the method of upper and lower so- lutions, is a powerful tool for proving the existence of solutions for nonlinear ordinary differential equations [1–3] ... See full document
9
Existence and nonexistence of positive solutions for fractional order two point boundary value problems
... nonlinear fractional differential equations with various boundary conditions (see [–] and the references ...singular fractional boundary value problem of the ... See full document
11
A shifted Legendre spectral method for fractional order multi point boundary value problems
... any fractional-order derivatives of shifted Legendre polynomials of any degree in terms of shifted Legendre polynomials themselves, and the multi-order fractional differential equation with variable ... See full document
19
Chebyshev reproducing kernel method: application to two point boundary value problems
... Boundary value problems (BVPs) associated with different kinds of differential equations play important roles in modeling a wide variety of natural ...these problems have attracted much ... See full document
19
Boundary value problems for fractional differential equations with three point fractional integral boundary conditions
... linear fractional differential and integro-differential equations for a variety of boundary conditions using standard fixed-point theorems and Leray-Schauder degree ...of fractional integro- ... See full document
10
Lower and Upper Solutions for General Two-Point Fractional Order Boundary Value Problems
... homogeneous boundary value problem corresponding to (1)-(2) is constructed and certain lemmas are ...of fractional order boundary value problem (1)-(2) are established using lower and ... See full document
8
Periodic boundary value problems for impulsive conformable fractional integro-differential equations
... linear problems with impulses. By applying the method of lower and upper solutions in reversed order coupled with the monotone iterative technique, some new sufficient conditions for the ... See full document
18
Numerical solution of two-point boundary-value problems
... x nJ+l matrix and r is an nJ+l-vector Employing Euler's method to approximate the differential equation lala, this formulation of the discrete problem becomes This example will be used t[r] ... See full document
128
Positive solutions for a class of fractional infinite-point boundary value problems
... In this paper, we consider a class of fractional differential equations with infinite-point boundary value conditions. Under some conditions concerning the spectral radius with respect to the ... See full document
14
Iterative solutions for fractional nonlocal boundary value problems involving integral conditions
... u() = u () = , D β + u() = D β + u(t) dA(t), (.) where < α ≤ , < β ≤ are real numbers and A is of bounded variation, the nonlinear term f (t, u) may change sign on some set and D β + u(t) ... See full document
13
Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces
... fixed point theorem, Guo 15 obtained the existence of positive solutions for a class of nth-order nonlinear impulsive singular integro-differential equations in a Banach ...fixed point theorem combined with ... See full document
22
Decomposition conditions for two point boundary value problems
... In this paper, under the assumption that f can be suitably decomposed, we shall apply the abstract continuation type theorem of Petryshyn on A-proper mappings to prove approximation solvability results for (1.1) with the ... See full document
13
Monotone iterative method for nonlinear fractional q difference equations with integral boundary conditions
... , fractional q-difference equations have gained considerable popularity and importance due to the fact that they can describe the natural phenomena and the math- ematical model more ...for boundary ... See full document
10
A higher order method for nonlinear singular two point boundary value problems
... difference method for a general class of nonlinear singular two-point boundary value ...the method for such a general class of problems is higher than the previous reported ... See full document
13
Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces
... In Theorem 3.1, if E is weakly sequentially complete, condition H3 and H4 hold automatically. In fact, by Theorem 2.2 in 12, any monotonic and order-bounded sequence is precompact. By the monotonicity 3.6 and the same ... See full document
13
Monotone iterative method for differential systems with coupled integral boundary value problems
... the method of upper and lower solutions and the monotone iterative technique, we investigate the differential systems with coupled integral boundary value ... See full document
9
A Galerkin method of O(h2) for singular boundary value problems
... singular two-point boundary value problems of the form ...applied problems, for example, in the study of electrohydrodynamics [9], in the theory of thermal explosions [4], in the ... See full document
9
Generalized monotone iterative method for nonlinear boundary value problems with causal operators
... The rest of this paper is organized as follows. In Section , we develop the monotone technique for (.); four theorems and several special cases are given. In Section , we give two examples to illustrate ... See full document
12
SOLVABILITY OF ITERATIVE SYSTEMS OF THREE-POINT BOUNDARY VALUE PROBLEMS
... 3.1. Numerical inversion of Laplace transform. Sometimes, an analytical inversion of a Laplace domain solution is difficult to obtain; therefore a numerical inversion method must be used. A nice comparison of four ... See full document
9
Monotone iterative technique for nonlinear boundary value problems of fractional order \(p\in(2,3]\)
... We write in the form x = Tx, where T is defined by the right-hand side of (.). Clearly, T is an operator from C[, ] into C[, ]. Now, we have to show that the operator T has a unique fixed point. To do this, we ... See full document
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