Existence and trajectory controllability for the conformable fractional evolution systems

Vishant  Shah; K. Anukiruthika; P. Muthukumar; Jaita  Sharma; Dhanesh  Patel; Gargi Trivedi

doi:10.26637/mjm1301/008

Abstract

This article established sufficient conditions for the existence and trajectory controllability for the conformable fractional evolution equation with non-local and classical conditions. These conditions are established through the concept of the operator semi-group, nonlinear functional analysis,Banach fixed point principle and Gronwall’s inequality. At last, examples in finite and infinite dimensional Banach spaces were given to validate the obtained results

Keywords:

Evolution systems, Conformable fractional derivative, Trajectory Controllability, Classical conditions

Mathematics Subject Classification:

34K35, 34K45, 93B05, 93C25

Authors Imprint References Funding Related Articles Downloads

Vishant Shah Applied Science and Humanities, School of Engineering, P P Savani University, Dhamdod, Kosamba, Surat, India.
K. Anukiruthika Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India.
P. Muthukumar Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India.
Jaita Sharma Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda, Vadodara - 390 001, India.
Dhanesh Patel
Gargi Trivedi Department of Applied Mathematics, Faculty of Technology and Engineering, The M. S. University of Baroda, Vadodara - 390 001, India.

Pages: 63-74
Date Published: 01-01-2025
Vol. 13 No. 01 (2025): Malaya Journal of Matematik (MJM)

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