scholarly journals Stability theory and existence of solution to a multi-point boundary value problem of fractional differential equations

2019 ◽  
Vol 13 (1) ◽  
pp. 53-60
Author(s):  
Muhammad Zamir ◽  
Kamal Shah ◽  
Muhammad Ikhlaq Chohan
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Stability Theory ◽  
Boundary Value ◽  
Existence Of Solution ◽  
Point Boundary ◽  
Fractional Differential

scholarly journals Successive Approximation Technique in the Study of a Nonlinear Fractional Boundary Value Problem

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 724
Author(s):  
Kateryna Marynets
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Approximate Solutions ◽  
Approximation Technique ◽  
Fractional Boundary Value Problem ◽  
Point Boundary ◽  
Fractional Differential ◽  
Fractional Boundary Value Problems

We studied one essentially nonlinear two–point boundary value problem for a system of fractional differential equations. An original parametrization technique and a dichotomy-type approach led to investigation of solutions of two “model”-type fractional boundary value problems, containing some artificially introduced parameters. The approximate solutions of these problems were constructed analytically, while the numerical values of the parameters were determined as solutions of the so-called “bifurcation” equations.

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