Sains Malaysiana 44(2)(2015): 295–300

 

Existence Results for a Family of Equations of Fractional Resolvent

(Keputusan Kewujudan bagi Keluarga Persamaan Pecahan Berperingkat)

 

RABHA W. IBRAHIM*, SAYYEDAH A. QASEM & ZAILAN SIRI

Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, Malaysia

 

Received: 4 June 2014/Accepted: 25 July 2014

 

ABSTRACT

This study deals with the presence and distinction of bounded m-solutions (type mild) for a family of generalized integral and differential equations of spot order with fractional resolvent and indefinite delay.

 

Keywords: Fractional calculus; fractional differential equations; fractional differential operator

 

ABSTRAK

Kajian ini membincangkan kehadiran dan perbezaan terbatas m-penyelesaian (jenis lembut) untuk keluarga integral umum dan persamaan pembezaan titik tertib dengan pecahan berperingkat dan lengah tak tentu.

 

Kata kunci: Kalkulus pecahan; pecahan pembezaan pengoperasi; persamaan pembezaan pecahan

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*Corresponding author; email: rabhaibrahim@yahoo.com

 

 

 

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