CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE

Kottakkaran Sooppy Nisar, C. Ravichandran (), Abdel-Haleem Abdel-Aty (), Ibrahim S. Yahia and Choonkil Park
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Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Al Dawasir 11991, Saudi Arabia
C. Ravichandran: Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, 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 Arabia5Research Center for Advanced Materials Science (RCAMS), King Khalid University, P. O. Box 9004, Abha 61413, Saudi Arabia6Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Metallurgical Laboratory 1, Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt
Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-17

Abstract: The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.

Keywords: Hilfer Derivative; Total Controllability; Kuratowski Measure; Non-instantaneous Impulses; Banach Space; Fractional Calculus (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401879

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