A NOTE ON CONTROLLABILITY OF NONINSTANTANEOUS IMPULSIVE ATANGANA–BALEANU–CAPUTO NEUTRAL FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS

Kottakkaran Sooppy Nisar, V. Vijayaraj (), N. Valliammal (), K. Logeswari (), C. Ravichandran (), Abdel-Haleem Abdel-Aty () and Ibrahim S. Yahia
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Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawasir 11991, Saudi Arabia
V. Vijayaraj: Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India
N. Valliammal: Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641 202, Tamil Nadu, India
K. Logeswari: Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India
C. Ravichandran: Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, India
Abdel-Haleem Abdel-Aty: Department of Physics, College of Sciences, University of Bisha, P. O. Box 344, Bisha 61922, Saudi Arabia
Ibrahim S. Yahia: Department of Physics, College of Science, King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia6Research Center for Advanced Materials Science (RCAMS), King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia7Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Metallurgical Laboratory 1, Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-15

Abstract: This paper describes the required and adequate conditions for controllability and optimal controls of Atangana–Baleanu–Caputo (ABC) neutral fractional integrodifferential equations (NFIE) with noninstantaneous impulses. Measure of noncompactness, semigroup theory, fractional calculus and fixed point techniques act as the main tools in deriving the results. An illustration is offered to enhance our theoretical outcomes.

Keywords: Controllability; Fractional Calculus; Fixed Point Theorem; Noninstantaneous Impulse; Optimal Control; Semigroup (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402034

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