[PDF] Top 20 Positive solutions of higher order nonlinear fractional differential equations with changing sign measure
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Positive solutions of higher order nonlinear fractional differential equations with changing sign measure
... BVP (1.1) has been studied in [1-3]. A more general equation with f depending on deriva- tives and the boundary conditions with two nonlocal terms was studied by Zhang [4], where f can be singular at t = 0 and/or t = 1 ... See full document
14
Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
... singular fractional differential equations with infinite-point boundary ...The fractional orders are involved in the nonlinearity of the boundary value problem, and the nonlinearity is allowed to be ... See full document
22
Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently appears in various fields such as physics, ... See full document
9
Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations
... of positive solutions to a class of higher-order delayed nonlinear fractional differential equations with m-point multi-term fractional integral boundary ... See full document
19
On a sign-changing solution for some fractional differential equations
... differential equations have gained much importance and attention due to the fact that they have been proved to be valuable tools in the modeling of many phe- nomena in engineering and sciences such as physics, ... See full document
8
Positive solutions of a system for nonlinear singular higher-order fractional differential equations with fractional multi-point boundary conditions
... Hence fractional differ- ential equations have attracted great research interest in recent years, and for more de- tails we refer the reader to [–] and the references cited ...of positive ... See full document
18
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... of fractional calculus itself and its varied applications in many fields of science and engineering, the fractional differential equation has gained considerable popularity and importance for the last several ... See full document
22
Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed type boundary value conditions
... the nonlinear terms and boundary conditions, and the nonlinear terms are allowed to be singular in regard to not only time variable but also space ...unique positive solution is established by using ... See full document
26
On positive solutions of higher order nonlinear fractional integro-differential equations with boundary conditions
... study nonlinear fractional integro-differential equations of higher order in Banach ...of positive solutions are established by well-known fixed point index theorem ... See full document
7
Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity
... of positive solutions for a class of high order fractional differential equation integral boundary value problems with changing sign ...of positive solutions, which ... See full document
17
EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
... of positive solutions of problem (1)-(2) by using the fixed point index the- orems [1, ...a positive solution of problem (1)-(2) we mean a pair of functions (u, v) ∈ C[0, 1] × C[0, 1] satisfying (1) ... See full document
12
Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations
... Definition 2.2. A cone K is said to be normal if the norm k . k is semi- monotone increasing on K, that is, there is a constant N > 0 such that k x k ≤ N k y k for all x, y ∈ K with x ≤ y. It is known that if the cone ... See full document
15
Nonoscillatory solutions for higher order nonlinear neutral delay differential equations
... { , , . . . , n } . Shen and Debnath [] obtained some sufficient conditions for the oscilla- tions of (.) and Luo and Shen [] established a few oscillation and nonoscillation criteria for (.). Liu and Huang [] ... See full document
34
Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
... Therefore, applying Lemma ., the results ()-() in Theorem . are tenable. Remark . Comparing Theorem ., Theorem . and Theorem . with the main re- sults in [], we provide some alternative approaches to the ... See full document
19
An existence result for n^{th}-order nonlinear fractional differential equations
... integer order. Fractional differential equations arise in many engineering and scientific disciplines, such as physics, chemistry, biology, economics, control theory, signal and image ... See full document
13
Approach to a Fifth Order Boundary Value Problem, via Sperner's Lemma
... [5] J. R. Graef and B. Yang, “Positive Solutions to a Multi- Point Higher Order Boundary-Value Problem,” Journal of Mathematical Analysis and Applications, Vol. 316, No. 2, 2006, pp. 409-421. ... See full document
6
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... the fractional theory are considered regrading to modified Riemann-Liouville ...exact solutions for NPDEs of fractional order with the help of fractional complex ... See full document
7
Positive solutions for higher order differential equations with integral boundary conditions
... of positive solutions for such problems have received a great deal of attention; see [–] and references ...of positive solu- tions of the following fourth-order BVP with integral boundary ... See full document
11
Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... the fractional Laplacian, see [22, Appendix A] for more details in physical ...of solutions for fractional Kirchhoff equation like ...state solutions for ...state solutions by using the ... See full document
21
Existence of positive solutions of higher order nonlinear neutral equations
... of positive solutions of higher-order nonlinear neutral differential ...In order to obtain new sufficient conditions for the existence of a positive solution, we use ... See full document
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