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Fractional Green's Function for an Initial‐Boundary Value Problem on an Interval
Jorge Antonio Morales‐Buenaventura, Martín Patricio Árciga‐Alejandre, Jorge Sanchez‐Ortiz
Source abstract
ABSTRACT This work is dedicated to studying an initial‐boundary value problem for a nonlinear fractional equation of the Benjamin–Bona‐Mahony type. Considering an associated linear problem, the Green's function is constructed and an integral equation equivalent to the original problem is obtained, which is used to demonstrate the existence and uniqueness of solutions through a fixed‐point theory argument.
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