Browsing by Author "Zhang, Lihong"

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A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions
(Hindawi LTD, 2014) Wang, Guotao; Liu, Sanyang; Zhang, Lihong; Baleanu, Dumitru; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.
Citation - WoS: 27
Citation - Scopus: 30
Explicit Iteration To a Nonlinear Fractional Langevin Equation With Non-Separated Integro-Differential Strip-Multi Boundary Conditions
(Pergamon-elsevier Science Ltd, 2020) Qin, Jianfang; Zhang, Lihong; Baleanu, Dumitru; Wang, Guotao; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
By using the monotone iterative method combined with the upper and lower solutions, we not only prove the existence of extremal solutions for the nonlinear fractional Langevin equation involving fractional conformable derivative and non-separated integro-differential strip-multi-point boundary conditions, but also provide two computable explicit monotone iterative sequences that converge to the extremal solution. In order to carry out our work smoothly, we also develop a comparison principle, which plays a very important role in this article. (C) 2019 Elsevier Ltd. All rights reserved.
Citation - WoS: 47
Citation - Scopus: 52
Monotone Iterative Method for a Class of Nonlinear Fractional Differential Equations
(Walter de Gruyter Gmbh, 2012) Baleanu, Dumitru; Zhang, Lihong; Wang, Guotao; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
By applying the monotone iterative technique and the method of lower and upper solutions, this paper investigates the existence of extremal solutions for a class of nonlinear fractional differential equations, which involve the Riemann-Liouville fractional derivative D (q) x(t). A new comparison theorem is also build. At last, an example is given to illustrate our main results.
Citation - WoS: 4
Citation - Scopus: 3
Monotone Iterative Method for a Nonlinear Fractional Conformable P-Laplacian Differential System
(Wiley, 2024) Qin, Jianfang; Zhang, Lihong; Baleanu, D.; Wang, Guotao; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we study the extremal solutions of nonlinear fractional p-Laplacian differential system with the fractional conformable derivative by applying monotone iterative method and a half-pair of upper and lower solutions. For the smooth running of our work, we develop a comparison principle about linear system, which play a very crucial role in this article. At last, an illustrative example is given for the main result.
Citation - WoS: 8
Citation - Scopus: 13
A New Impulsive Multi-Orders Fractional Differential Equation Involving Multipoint Fractional Integral Boundary Conditions
(Hindawi Publishing Corporation, 2014) Liu, Sanyang; Baleanu, Dumitru; Zhang, Lihong; Wang, Guotao; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
A new impulsive multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions by applying standard fixed point theorems. An example for the illustration of the main result is presented.
Citation - WoS: 38
Citation - Scopus: 41
Radial Solutions of a Nonlinear K-Hessian System Involving a Nonlinear Operator
(Elsevier, 2020) Yang, Zedong; Zhang, Lihong; Baleanu, Dumitru; Wang, Guotao; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we consider the following nonlinear k-Hessian system {G(S-k(1/k)(lambda(D-2 z(1))))S-k(1/k)(lambda(D-2 z(1))) = b(|x|)phi(z(1), z(2)), x is an element of R-N, G(S-k(1/k)(lambda(D(2)z(2))))S-k(1/k)(lambda(D(2)z(2)) = h(|x|)psi(z(1), z(2)), x is an element of R-N, where G is a nonlinear operator. This paper first proves the existence of the entire positive bounded radial solutions, and secondly gives the existence and non-existence conditions of the entire positive blow-up radial solutions. Finally, we give some examples to illustrate our results. (c) 2020 Elsevier B.V. All rights reserved.