We generalize the Krasovskii problem about an optimal observation under random circumstances to case of linear fractional order systems behavior which is described by equations with Hilfer derivative. study one- and two-dimensional whose state estimated in terms some function observed a perturbation form sequence δ-impulses appearance times are subject Poisson distribution. show that restoring ...

This paper studies a fractional Bloch equation pertaining to Hilfer operator. is broadly applied in physics, chemistry, nuclear magnetic resonance (NMR), imaging (MRI) and many more. The sumudu transform technique obtain the analytic solutions for magnetization M = ( x , y z ). general solution of shown terms Mittag-Leffler (ML) type function. influence order operator on demonstrated graphical ...

<abstract><p>In this paper, we consider the time-fractional telegraph equation of distributed order in higher spatial dimensions, where time derivative is sense Hilfer, thus interpolating between Riemann-Liouville and Caputo fractional derivatives. By employing techniques Fourier, Laplace, Mellin transforms, obtain a representation solution Cauchy problem associated with terms convo...

A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative with the non-singular kernel is considered. The analysis elaborated for both non-singular kernel derivatives is shown the necessity of considering...

Symmetry in systems arises as a result of natural design and provides pivotal mechanism for crucial system properties. In the field control theory, scattered research has been carried out concerning group-theoretic symmetric systems. this manuscript, principles stochastic analysis, fixed-point theorem, fractional calculus, multivalued map theory are implemented to investigate null boundary cont...

This paper aims to study the existence and uniqueness of solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a , ∞ ≥ 0 , in an applicable Banach...

The theory of derivatives and integrals of fractional in fractional calculus have found enormousapplications in mathematics, physics and engineering so for that reason we need an efficient and accurate computational method for the solution of fractional differential equations. This paper presents a numerical method for solving a class of linear and nonlinear multi-order fractional differential ...