Browsing by Author "Wang, Guotao"

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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: 3
Citation - Scopus: 3
Certain New Gruss Type Inequalities Involving Saigo Fractional Q-Integral Operator
(Eudoxus Press, Llc, 2015) Wang, Guotao; Baleanu, Dumitru; Agarwal, Praveen; Baleanu, Dumitru; Matematik; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In the present paper, we aim to investigate a new q-integral inequality of Gruss type for the Saigo fractional q-integral operator. Some special cases of our main results are also provided. The results presented in this paper improve and extend some recent results.
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: 7
Citation - Scopus: 21
Explicit Iteration To Hadamard Fractional Integro-Differential Equations on Infinite Domain
(Springer international Publishing Ag, 2016) Pei, Ke; Baleanu, Dumitru; Wang, Guotao; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
This paper investigates the existence of the unique solution for a Hadamard fractional integral boundary value problem of a Hadamard fractional integro-differential equation with the monotone iterative technique. Two examples to illustrate our result are given.
Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator
(2020) Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The purpose of the current study is to investigate IBVP for spatial-time fractional differential equationwith Hadamard fractional derivative and fractional Laplace operator(-Delta)(beta). A new Hadamard fractional extremum principle is established. Based on the new result, a Hadamard fractional maximum principle is also proposed. Furthermore, the maximum principle is applied to linear and nonlinear Hadamard fractional equations to obtain the uniqueness and continuous dependence of the solution of the IBVP at hand.
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.
Stability Analysis and Solutions of Fractional Boundary Value Problem on the Cyclopentasilane Graph
(Cell Press, 2024) Wang, Guotao; Yuan, Hualei; Baleanu, Dumitru; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The study is being applied to a model involving silane and on cyclopentasilane graph. We consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of cyclopentasilane. In this paper, we first study the existence of solutions to fractional conformable boundary value problem on the cyclopentasilane graph by applying Scheafer and Krasnoselskii fixed point theorems. Furthermore, we investigate different kinds of Ulam stability such as Ulam-Hyers stable, generalized Ulam-Hyers stable, Ulam-Hyers-Rassias stable and generalized Ulam-HyersRassias stable for the given problem. Finally, we give an example to support our important results.
Stability Analysis, Existence and Uniqueness of Solutions for a Fractional Conformable P-Laplacian Coupled Boundary Value Problem on the Disilane Graph
(Springer Basel Ag, 2024) Wang, Guotao; Yuan, Hualei; Baleanu, Dumitru; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
Disilane is an important inorganic compound, which is widely used in many fields. This study first focuses on investigating the existence and uniqueness of solutions to fractional conformable coupled boundary value problem with the p-Laplacian operator on the disilane graph. The fixed point theorem is used to analyze these results. Additionally, the study also discusses the Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability of the given problem. At the end of this paper, some examples are presented to illustrate the obtained theorems.