A Class of Nonlocal Fractional Evolution Equations and Optimal Controls

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Authors

  • Ravi P. Agarwal Department of Mathematics, Texas A&M University-Kingvsille, Kingsville, USA Author
  • Asma Abdus Salam School of Mathematical Sciences, GCU, Lahore, Pakistan Author
  • Vasile Lupulescu University Constantin Brâncusi, Str. Geneva, Nr. 3, 210136 Târgu-Jiu, România Author
  • Donal O’Regan School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, University Road, Galway, Ireland Author

DOI:

https://doi.org/10.5890/JAND.2017.12.001

Abstract

In this paper we study the existence of solutions for a class of semilinear fractional differential equations with nonlocal conditions and involving abstract Volterra operators. The existence of an optimal solution for a class of fractional control problem involving Caputo fractional derivatives is obtained. An example is presented to illustrate our main result.

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PublishedDecember 2017

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How to Cite

Agarwal, R. P., Asma, Lupulescu, V., & O’Regan, D. (2026). A Class of Nonlocal Fractional Evolution Equations and Optimal Controls. Journal of Applied Nonlinear Dynamics, 6(4), 445-463. https://doi.org/10.5890/JAND.2017.12.001