[PDF] Top 20 Positive properties of Green’s function for focal type BVPs of singular nonlinear fractional differential equations and its application
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Positive properties of Green’s function for focal type BVPs of singular nonlinear fractional differential equations and its application
... Green’s function and some of its ...Leray-Schauder nonlinear alter- native and Krasnoselskii’s fixed-point theorem in a cone, we offer criteria for the existence of positive solutions for ... See full document
12
Positive solutions to singular Dirichlet type boundary value problems of nonlinear fractional differential equations
... for fractional differential equations arise from the studies of models of aerodynamics, fluid flows, electrodynamics of complex medium, elec- trical networks, rheology, polymer rheology, economics, biology ... See full document
14
Existence of positive solution and Hyers–Ulam stability for a nonlinear singular delay fractional differential equation
... of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) ...and properties of a p-Laplacian operator. ... See full document
13
Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed type boundary value conditions
... the boundary condition of BVP (1.1) is the same as [18]. Meanwhile the work to check the properties of the corresponding Green’s function is too hard. Secondly, the non- linearity f contains different orders ... See full document
26
Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... of positive solutions for a class of singular nonlinear fractional differential equations with Riemann-Stieltjes integral boundary ...the properties of the Green ... See full document
15
Existence of multiple positive solutions for singular boundary value problems of nonlinear fractional differential equations
... an application of the Green’s function, we give some multiple positive solutions for singular boundary value problems, and we also give the uniqueness of solution for a singular problem ... See full document
16
Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
... iterative positive solutions for a class of singular nonlinear fractional differential equations with Riemann-Stieltjes integral boundary conditions, where the nonlinear term may ... See full document
13
Multiple positive solutions to singular positone and semipositone m-point boundary value problems of nonlinear fractional differential equations
... be singular at u = ...Green’s function and obtained some properties. As an application of Green’s function, we gave some mul- tiple positive solutions for singular ... See full document
18
Existence and uniqueness of positive solution to singular fractional differential equations
... linear fractional differential equations by using the techniques of nonlinear analysis; see [–] and references ...some positive properties of the Green function for ... See full document
12
Positive solution of singular BVPs for a system of dynamic equations on time scales
... Under the general form of problem (P), it included the Emden-Fowler equation which arises, for example, in astrophysics in relation to the stellar structure (gaseous dynamics). In this case, the fundamental problem is to ... See full document
17
Solutions of fractional differential equations with p-Laplacian operator in Banach spaces
... where 0 < α ≤ 2, 0 < η ≤ 1, 0 < ξ < 1, 0 ≤ a ≤ 1. By using the Guo-Krasnosel’skii fixed point theorem and the Leggett-Williams theorem, some sufficient conditions for the existence positive solutions have ... See full document
13
Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings
... a positive least energy solution with both nontrivial ...and nonlinear coupling terms both exist, to the best of our knowledge, there has been almost no research on this ...the fractional Laplacian ... See full document
16
Multiple monotone positive solutions of integral BVPs for a higher order fractional differential equation with monotone homomorphism
... the fractional order differential equation has aroused great attention due to both the further development of fractional order calculus theory and the important applications for the theory of ... See full document
17
Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... Green's function is an operator used to solve difficult ODE and PDE which may be unsolvable by other ...relevant differential operators are often difficult or impossible to solve exactly but can be solved ... See full document
16
Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
... the nonlinear term has to satisfy the monotone or other control ...the nonlinear fractional differential equation with non- monotone term can respond better to impersonal law, so it is very important ... See full document
12
Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
... Remark . Condition (H) includes conditions (A), (A) and (A) as special cases. Remark . The function η defined in (H) satisfies η() = , and η(r) ≤ , ∀r ∈ (, ). Remark . If condition (H) holds, then ... See full document
14
An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional Order Nonlinear Systems
... the fractional differential equations is proposed based on the variational iteration ...new fractional-order hyperchaotic system, and find that hyperchaos does exist in the new ... See full document
9
Green’s function for Sturm-Liouville-type boundary value problems of fractional order impulsive differential equations and its application
... differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of physics, chemistry, aerodynamics, electrodynamics of complex medium, ... See full document
21
Positive solution for singular fractional differential equations involving derivatives
... the fractional order singular non- local BVP ...unique positive solution for BVP ...the nonlinear f involves fractional derivatives of an unknown ...be singular at x = , x = ... See full document
12
Positive Solutions for Systems of Nonlinear Singular Differential Equations
... ABSTRACT: By constructing a special cone and using the fixed point theorem of cone expansion and compression, this paper shows the existence of positive solutions for two-poin[r] ... See full document
6
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