Existence Results for Fractional Evolution Systems with Riemann-Liouville Fractional Derivatives and Nonlocal Conditions

Issue title: Theory and Applications of Fractional Fourier Transform and its Variants

Guest editors: Yudong Zhang, Xiao-Jun Yang, Carlo Cattani, Zhengchao Dong, Ti-Fei Yuan and Liang-Xiu Han

Article type: Research Article

Authors: Kalamani, P.^{a; *} | Mallika Arjunan, M.^a | Mallika, D.^b | Baleanu, D.^c

Affiliations: [a] Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India. kalamn17@gmail.com, arjunphd07@yahoo.co.in | [b] Department of Mathematics, Hindusthan College of Arts and Science, Behind Nava India, Coimbatore - 641 028, Tamil Nadu, India. malliabilash@yahoo.com | [c] Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey. dumitru@cankaya.edu.tr

Correspondence: [*] Address for correspondence: Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore - 641 042, Tamil Nadu, India

Note: [†] Also affiliated at: Turkey and Institute of Space Sciences, Magurele-Bucharest, Romania

Abstract: Based on concepts for semigroup theory, fractional calculus, Banach contraction principle and Krasnoselskii fixed point theorem (FPT), this manuscript is principally involved with existence results of Riemann-Liouville (RL) fractional neutral integro-differential systems (FNIDS) with nonlocal conditions (NLCs) in Banach spaces. An example is offered to demonstrate the theoretical concepts.

Keywords: Fractional order integro-differential equations, Riemann-Liouville fractional derivatives, fixed point, semigroup theory

DOI: 10.3233/FI-2017-1506

Journal: Fundamenta Informaticae, vol. 151, no. 1-4, pp. 487-504, 2017