TY - JOUR ID - 245096 TI - Characteristics of Solutions of Fractional Hybrid Integro-Differential Equations in Banach Algebra JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - El-Sayed, Ahmed AU - Hashem, Hind AU - Al-Issa, Shorouk AD - Department of mathematics, Alexandria University, Alexandria, Egypt. AD - Department of mathematics, College of Science, Qassim University, P.O. Box 6644 Buraidah 51452 , Saudi Arabia. AD - Department of mathematics, Lebanese International University, Lebanon, Saida. Y1 - 2021 PY - 2021 VL - 18 IS - 3 SP - 109 EP - 131 KW - Hybrid differential equations KW - Quadratic differential equation KW - Dhage hybrid fixed point theorem KW - Banach algebra DO - 10.22130/scma.2021.120867.876 N2 - In this paper, we discuss the existence results for a class of hybrid initial value problems of Riemann-Liouville fractional differential equations. Our investigation is based on the Dhage hybrid fixed point theorem, remarks and some special cases will be discussed. The continuous dependence of the unique solution on one of its functions will be proved. UR - https://scma.maragheh.ac.ir/article_245096.html L1 - https://scma.maragheh.ac.ir/article_245096_db0e04a3c16285e17ecf58580ada2ec3.pdf ER -