UHML stability of a class of $ \Delta $-Hilfer FDEs via CRM

<abstract><p>We apply CRM based on an alternative FPT to investigate the approximation of a $ \Delta $-Hilfer FDE. In comparison to the Picard method, we show that the CRM has a better error estimate and economic solution.</p></abstract>

Picard and Adomian Solutions of a Nonlocal Cauchy Problem of a Delay Dierential Equation

In this paper, two methods are used to solve a nonlocal Cauchy problem of a delay differential equation; Adomian decomposition method (ADM) and Picard method. The existence and uniqueness of the solution are proved. The convergence of the series solution and the error analysis are studied.

Picard Method for Existence, Uniqueness, and Gauss Hypergeomatric Stability of the Fractional-Order Differential Equations

In this paper, we consider a class of fractional-order differential equations and investigate two aspects of these equations. First, we consider the existence of a unique solution, and then, using a new class of control functions, we investigate the Gauss hypergeometric stability. We use Chebyshev and Bielecki norms in order to prove these aspects by the Picard method. Finally, we give some examples to illustrate our results.

APPLICATION OF THE PICART METHOD FOR SOLVING PROBLEMS OF ELECTRICAL ENGINEERING AND ELECTRODYNAMICS

This paper presents the results of modeling transient processes in linear electrical circuits and general wave processes by the Picard method.