There has been a great advancement in the study of fractional-order
nonlocal nonlinear boundary value problems during the last few
decades. The interest in the subject of fractional-order boundary
value problems owes to the extensive application of fractional
differential equations in many engineering and scientific
disciplines. Fractional-order differential and integral operators
provide an excellent instrument for the description of memory and
hereditary properties of various materials and processes, which
contributed significantly to the popularity of the subject and
motivated many researchers and modelers to shift their focus from
classical models to fractional order models. Some peculiarities of
physical, chemical or other processes happening inside the domain
cannot be formulated with the aid of classical boundary conditions.
This limitation led to the consideration of nonlocal and integral
conditions which relate the boundary values of the unknown function
to its values at some interior positions of the domain.The main
objective for writing this book is to present some recent results
on single-valued and multi-valued boundary value problems,
involving different kinds of fractional differential and integral
operators, and several kinds of nonlocal multi-point, integral,
integro-differential boundary conditions. Much of the content of
this book contains the recent research published by the authors on
the topic.
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