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Existence of Solutions for Fractional Differential Equation with Nonlocal Boundary Condition

Author Affiliations

  • 1Department of Mathematics, Karpagam University, Coimbatore, India
  • 2Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai - 622 001, India

Res. J. Recent Sci., Volume 5, Issue (9), Pages 45-50, September,2 (2016)

Abstract

By using standard Riemann-Liouville differentiation and Leray- Shauder theory, existence of non negative solutions for fractional differential equation with global boundary condition +s( ) g( ,v( )) =0, 0< <0.99, v(0)=0, v(0.99)= is considered, here b (1,2] is a real number, the standard Riemann-Liouville differentiation is , and

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