Abdulahad, J., Murad, S. (2012). Local Existence Theorem of Fractional Differential Equations in Lp Space. Alustath, 9(2), 71-78. doi: 10.33899/csmj.2012.163702
Joseph Gh. Abdulahad; Shayma A. Murad. "Local Existence Theorem of Fractional Differential Equations in Lp Space". Alustath, 9, 2, 2012, 71-78. doi: 10.33899/csmj.2012.163702
Abdulahad, J., Murad, S. (2012). 'Local Existence Theorem of Fractional Differential Equations in Lp Space', Alustath, 9(2), pp. 71-78. doi: 10.33899/csmj.2012.163702
Abdulahad, J., Murad, S. Local Existence Theorem of Fractional Differential Equations in Lp Space. Alustath, 2012; 9(2): 71-78. doi: 10.33899/csmj.2012.163702

Local Existence Theorem of Fractional Differential Equations in Lp Space

AL-Rafidain Journal of Computer Sciences and Mathematics
Article 6, Volume 9, Issue 2, December 2012, Pages 71-78    PDF (312 K)
Document Type: Research Paper
DOI: 10.33899/csmj.2012.163702
Authors
Joseph Gh. Abdulahad1; Shayma A. Murad2
1Faculty of Science University of Zakho
2Faculty of Science University of Duhok
Abstract
We proved the existence of P-integrable solution in -space, where  for the  fractional differential equation which has the form:
                   
with boundary condition
            
where is the Caputo fractional derivative,  and c are positive constants with . The contraction mapping principle has been used to establish our main result.
 
Keywords
Fractional Differential Equation; Caputo fractional derivative; Lp space
Statistics
Article View: 273
PDF Download: 268


Journal Management System. Powered by ejournalplus.com