Jia Wei He

Prof. Dr. Jia Wei He

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Research Focus & Metrics

Academic Career Length

9Years (2018-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 January 2021 in Evolution Equations and Control Theory
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YZYong Zhou
Yong Zhou
JHJia Wei He
Jia Wei He
This paper addresses some interesting results of mild solutions to fractional evolution systems with order $ \alpha\in (1,2) $ in Banach spaces as well as the controllability problem. Firstly, we deduce a new representation of solution operators and give a new concept of mild solutions for the objective equations by the Laplace transform and Mainardi's Wright-type function, and then we proceed to establish a new compact result of the solution operators when the sine family is compact. Secondly, the controllability results of mild solutions are obtained. Finally, an example is presented to illustrate the main results.

16 July 2019 in Mathematical Methods in the Applied Sciences
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YZYong Zhou
Yong Zhou
JHJia Wei He
Jia Wei He
Bashir AhmadBashir Ahmad
Bashir Ahmad
NTNguyen Huy Tuan
Nguyen Huy Tuan

7 June 2022 in Fractional Calculus and Applied Analysis
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YZYong Zhou
Yong Zhou
JHJia Wei He
Jia Wei He

24 February 2019 in Mathematics
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JHJia Wei He
Jia Wei He
YLYong Liang
Yong Liang
Bashir AhmadBashir Ahmad
Bashir Ahmad
YZYong Zhou
Yong Zhou
This paper studies the existence of mild solutions and the compactness of a set of mild solutions to a nonlocal problem of fractional evolution inclusions of order α ∈ ( 1 , 2 ) . The main tools of our study include the concepts of fractional calculus, multivalued analysis, the cosine family, method of measure of noncompactness, and fixed-point theorem. As an application, we apply the obtained results to a control problem.

20 November 2020 in Monatshefte für Mathematik
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YZYong Zhou
Yong Zhou
JHJia Wei He
Jia Wei He

11 July 2021 in Fractal and Fractional
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ANAzmat Ullah Khan Niazi
Azmat Ullah Khan Niazi
JHJia Wei He
Jia Wei He
RSRamsha Shafqat
Ramsha Shafqat
BABilal Ahmed
Bilal Ahmed
This paper concerns with the existence and uniqueness of the Cauchy problem for a system of fuzzy fractional differential equation with Caputo derivative of order q∈(1,2], 0cD0+qu(t)=λu(t)⊕f(t,u(t))⊕B(t)C(t),t∈[0,T] with initial conditions u(0)=u0,u′(0)=u1. Moreover, by using direct analytic methods, the Eq–Ulam-type results are also presented. In addition, several examples are given which show the applicability of fuzzy fractional differential equations.
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