On Fractional Backward Differential Formulas Methods for Fractional Differential Equations with Delay
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-018-0493-y
Abstract: In this paper, fractional backward differential formulas are presented for the numerical solution of fractional delay differential equations in Caputo sense. We focus on linear equations. Our investigation is focused on stability properties of the… read more here.
Keywords: backward differential; differential formulas; fractional backward; differential equations ... See more keywords
Fractional Backward Differential Formulas for the Distributed-Order Differential Equation with Time Delay
Sign Up to like & getrecommendations! Published in 2018 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-018-0191-x
Abstract: In this paper, we investigate the fractional backward differential formulas for the distributed-order differential equation with time delay. The mid-point quadrature rule is used to approximate the distributed-order equation by a multi-term fractional form. Next… read more here.
Keywords: distributed order; backward differential; differential formulas; fractional backward ... See more keywords
Optimal Controls for Fractional Backward Nonlocal Evolution Systems
Sign Up to like & getrecommendations! Published in 2023 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2023.2212494
Abstract: Abstract This article analyzes a Caputo type fractional backward nonlocal evolution control system. By means of a joint combination of resolvent theory with the approximation solvability technique, we dispense with the compactness assumption on the… read more here.
Keywords: fractional backward; controls fractional; nonlocal evolution; backward nonlocal ... See more keywords
Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Problems in Engineering"
DOI: 10.1155/2020/6598682
Abstract: In this article, we consider the analytic solutions of the uncertain fractional backward difference equations in the sense of Riemann–Liouville fractional operators which are solved by using the Picard successive iteration method. Also, we consider… read more here.
Keywords: backward difference; uncertain fractional; existence uniqueness; fractional backward ... See more keywords