Existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions



	Existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions


	Fixed Point Theory, Volume 24, No. 2, 2023, 787-804, June 15th, 2023 DOI: 10.24193/fpt-ro.2023.2.21 Authors: Jianbo Zhu Abstract: In this work, we consider the existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions. A new set of sufficient conditions proving existence of solutions are derived by using the fractional calculus, α-resolvent operators theory, measure of noncompactness and some fixed point theorems. In the end, an example is provided to illustrate the applicability of our results. Key Words and Phrases: Fractional integro-differential equation, α-resolvent operator, existence, nonlocal condition, fixed point. 2010 Mathematics Subject Classification: 26A33, 34K30, 35R09, 45N05, 47H10. Published on-line: June 15th, 2023. Fulltext pdf Back to volume's table of contents