On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative. (30th September 2021)

• Record Type: Journal Article
• Authors: Khan, Zareen A.; Gul, Rozi; Shah, Kamal
• Other Names: Saad. T. Alkaltani Badr Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8331731
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence and puniness of a solution to the proposed problem. For our required results, we utilize the classical fixed point theorems from Banach and Scheafer. It is to be noted that the impulsive boundary value problem under the fractional order derivative of the Riemann-Liouville type has been very rarely considered in literature. Finally, to demonstrate the obtained results, we provide some pertinent examples.