Stability theory and the existence of Hilfer type fractional implicit differential equations with boundary conditions

International Journal of Mathematics and Systems Science

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Field Value
 
Title Stability theory and the existence of Hilfer type fractional implicit differential equations with boundary conditions
 
Creator Vivek, D
Kanagarajan, K
Elsayed, Elsayed Mohammed
 
Description The aim of this work is to study the existence and Ulam stability of solution of Hilfer fractional implicit differential equation with boundary condition of the form EDα,βα,β0+  x(t) = f (t, x(t), D0+ x(t)),       t ∈ [0, T],(0.1)I1−γ1−γ0+    x(0) = a,    I0+    x(T) = b,     γ = α + β − αβ.Here Dα,β  is the Hilfer fractional derivative, I1−γ  is the left-sided mixed Riemann-Liouville integral of0+                                                                       0+order 1 − γ, α ∈ (0, 1), β ∈ [0, 1] and let X be the Banach space,  f  : J × X × X → X is given continuousfunction. The results are established by the application of the contraction mapping principle  andSchaefer’s fixed point theorem. An example is provided to illustrate the applicability of the results.
 
Publisher EnPress Publisher LLC
 
Contributor
 
Date 2018-09-05
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier https://systems.enpress-publisher.com/index.php/IJMSS/article/view/745
10.24294/ijmss.v0i0.745
 
Source International Journal of Mathematics and Systems Science; Pre-published article
2578-1839
10.24294/ijmss.v0i0
 
Language eng
 
Relation https://systems.enpress-publisher.com/index.php/IJMSS/article/view/745/611
https://systems.enpress-publisher.com/index.php/IJMSS/article/downloadSuppFile/745/689
 
Rights Copyright (c) 2018 International Journal of Mathematics and Systems Science
http://creativecommons.org/licenses/by-nc/4.0
 

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