Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions

Ali Arshad; Gupta Vidushi; Abdeljawad ThabetShah KamalJarad Fahd

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Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions

机译：Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions

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This paper is related to frame a mathematical analysis of impulsive fractional order differential equations (IFODEs) under nonlocal Caputo fractional boundary conditions (NCFBCs). By using fixed point theorems of Schaefer and Banach, we analyze the existence and uniqueness results for the considered problem. Furthermore, we utilize the theory of stability for presenting Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability results of the proposed scheme. Finally, some applications are offered to demonstrate the concept and results. The whole analysis is carried out by using Caputo fractional derivatives (CFDs).

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第43期|7681479.1-7681479.16|共16页
作者
Ali Arshad; Gupta Vidushi; Abdeljawad ThabetShah KamalJarad Fahd;
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作者单位

Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan;

Chandigarh Univ, Dept Math, Chandigarh, Punjab, India;

Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia|China Med Univ, Dept Med Res, Taichung, Taiwan|Asia Univ, Dept Comp Sci & Informat Engn, Taichung, TaiwanUniv Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan|Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi ArabiaCankaya Univ, Dept Math, Ankara, Turkey;

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Mathematical Analysis of Nonlocal Implicit Impulsive Problem under Caputo Fractional Boundary Conditions

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