Title
Approximate Solutions Of An Extended Multi-Order Boundary Value Problem By Implementing Two Numerical Algorithms
Abstract
In this paper, we establish several necessary conditions to confirm the uniqueness-existence of solutions to an extended multi-order finite-term fractional differential equation with double-order integral boundary conditions with respect to asymmetric operators by relying on the Banach's fixed-point criterion. We validate our study by implementing two numerical schemes to handle some Riemann-Liouville fractional boundary value problems and obtain approximate series solutions that converge to the exact ones. In particular, we present several examples that illustrate the closeness of the approximate solutions to the exact solutions.
Year
DOI
Venue
2021
10.3390/sym13081341
SYMMETRY-BASEL
Keywords
DocType
Volume
approximate solutions, boundary value problem, existence, Riemann-Liouville derivative
Journal
13
Issue
Citations 
PageRank 
8
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Surang Sitho100.34
Sina Etemad200.68
Brahim Tellab300.68
Shahram Rezapour410.70
Sotiris K. Ntouyas5167.77
Jessada Tariboon694.78