Vaibhav Mehandiratta

TL;DR: In this paper, a nonlinear Caputo fractional boundary value problem on a star graph is studied, and the existence and uniqueness results by fixed point theory are established by using Banach's contraction principle and Schaefer's fixed point theorem.

TL;DR: In this article, the adjoint state and the optimality system are derived for fractional optimal control problem (FOCP) by using the Lagrange multiplier method, then, the existence and uniqueness of solution of the adjointed equation is proved by means of the Banach contraction principle.

TL;DR: A neural network problem modeled by a system of nonlinear fractional differential equations is solved using the proposed method and the numerical results show that the proposed numerical approach is efficient.

TL;DR: In this paper, an unconditionally stable numerical scheme based on finite difference for the approximation of time-fractional diffusion equation on a metric star graph is proposed, and the convergence and stability of the difference scheme has been proved by means of energy method.

TL;DR: In this article, the authors studied optimal control problems for time-fractional diffusion equations on metric graphs, where the fractional derivative is considered in the Caputo sense, using eigenfunction expansions for the...