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    STUDIA MATHEMATICA - Issue no. 4 / 2019  
         
  Article:   ANALYSIS OF FRACTIONAL BOUNDARY VALUE PROBLEM WITH NON LOCAL FLUX MULTI-POINT CONDITIONS ON A CAPUTO FRACTIONAL DIFFERENTIAL EQUATION.

Authors:  MUTHAIAH SUBRAMANIAN, KUMAR, A RAMAMURTHY VIDHYA, THANGARAJ NANDHA GOPAL. 		 
       
         
  Abstract:   A brief analysis of boundary value problem of Caputo fractional differential equation with nonlocal flux multi-point boundary conditions has been done. The investigation depends on the Banach fixed point theorem, Krasnoselskii- Schaefer fixed point theorem due to Burton and Kirk, fixed point theorem due to O;Regan. Relevant examples illustrating the main results are also constructed.
Mathematics Subject Classification (2010): 34A08, 34A12, 34B10.
Keywords: Fractional differential equation, Caputo derivative, multi-point, non-local, integral conditions, existence, fixed point. 		 
         
     
         
         
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