Numerical approach to the controllability of fractional order impulsive differential equations

• Autorzy: Kumar Avadhesh , Vats Ramesh K. , Kumar Ankit , Chalishajar Dimplekumar N.

Identyfikatory

DOI

10.1515/dema-2020-0015

• Języki publikacji: EN

Abstrakty

EN

In this manuscript, a numerical approach for the stronger concept of exact controllability (total controllability) is provided. The proposed control problem is a nonlinear fractional differential equation of order α ∈ (1, 2] with non-instantaneous impulses in finite-dimensional spaces. Furthermore, the numerical controllability of an integro-differential equation is briefly discussed. The tool for studying includes the Laplace transform, the Mittag-Leffler matrix function and the iterative scheme. Finally, a few numerical illustrations are provided through MATLAB graphs.

Słowa kluczowe

EN

fractional differential equation; non-instantaneous impulses; total controllability; Mittag-Leffler matrix function

PL

równanie różniczkowe cząstkowe; impuls; sterowalność; funkcja Mittag-Lefflera; funkcje macierzowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2020
• Tom: Vol. 53, nr 1
• Strony: 193--207
• Opis fizyczny: Bibliogr. 25 poz., wykr.

Twórcy

autor

Kumar Avadhesh

• Department of Mathematics and Computer Science, Sri Sathya Sai Institute of Higher Learning, Prasanthi Nilayam(A.P.), 515 134, India

autor

Vats Ramesh K.

• Department of Mathematics, National Institute of Technology Hamirpur, Hamirpur (H.P.), 177 005, India

autor

Kumar Ankit

• Department of Mathematics, National Institute of Technology Hamirpur, Hamirpur (H.P.), 177 005, India

autor

Chalishajar Dimplekumar N.

• Department of Applied Mathematics, Mallory Hall, Virginia Military Institute, Lexington, VA 24450, USA

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).