Non-Compact Semigroups and Controllability of Fractional Evolution Equations of Order (1, 2)

Authors

  • Hafiza Maria Arshad OPF Bhalwal, Sargodha, Pakistan
  • Syed Zargham Haider Sherazi Department of Mathematics and Statistics, The University of Lahore, Sargodha, Pakistan
  • Mehwish Iqbal Department of Mathematics and Statistics, The University of Lahore, Sargodha, Pakistan
  • Muhammad Usman Mehmood Department of Mathematics and Statistics, The University of Lahore, Sargodha, Pakistan

DOI:

https://doi.org/10.52223/ijam.20222201

Abstract

This work present the controllability of fractional evolution equations of order (1, 2).We use the fractional calculus, the Monch fixed point (MFP) theorem and measure of non-compactness (MNC). A controllability result is given out for the nonlocal Cauchy problem of the fractional evolution equations including noncompact semigroups (NCSG) and the functions by excluding Lipschitz continuity. The associated theorems and properties are demonstrated in detail and an example is stated to clarify the effectiveness of the theoretical outcomes.

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Published

2022-12-30

How to Cite

Arshad, H. M., Sherazi, S. Z. H., Iqbal, M., & Mehmood, M. U. (2022). Non-Compact Semigroups and Controllability of Fractional Evolution Equations of Order (1, 2). International Journal of Advancements in Mathematics, 2(2), 84–104. https://doi.org/10.52223/ijam.20222201

Issue

Vol. 2 No. 2 (2022): Int. J. Adv. Math.

Section

Articles

License

Copyright (c) 2022 Hafiza Maria Arshad, Syed Zargham Haider Sherazi, Mehwish Iqbal, Usman Mehmood

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.