Existence and Ulam-Hyers-Rassias Stability of Solutions for Integrodifferential Equations Using Hilfer-Katugampola Fractional Derivatives

Document Type : Research Paper

Authors

• Helima Chahdane ¹
• Nadjat Abada ²
• Nouria Arar ³
• Najla Alghamdi ⁴
• Mohammed S. Abdo ⁵

¹ Higher School of Accounting and Finance, Constantine, Algeria.

² Laboratory of Applied Mathematics and didactics, Ecole Normale Supérieure El Katiba Assia Djebar, Constantine, Algeria.

³ Mathematics and Decision Sciences Laboratory, Department of Mathematics, University Constantine 1, Frères Mentouri, Constantine, Algeria.

⁴ Department of Mathematics and Statistics, University of Jeddah, College of science, Jeddah, Saudi Arabia.

⁵ 1. Department of Mathematics, Hodeidah University, PO.Box. 3114, Al-Hudaydah, Yemen.\\ 2. Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai, 602105, Tamil Nadu, India.

Abstract

Keywords

• Hilfer-Katugampula fractional derivative (H-K FD)
• Ulam-Hyers-Rassias type stability (U-H-R)
• integrodifferential equation (IDE)

Main Subjects

• Fractional ordinary differential equations