Nonlocal Nonlinear Fractional-order Boundary Value Problems

Released on by Bashir Ahmad
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  • Nonlocal Nonlinear Fractional-order Boundary Value Problems Book Detail

  • Author : Bashir Ahmad
  • Release Date : 2021-04-06
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 597
  • ISBN 13 : 9811230420
  • File Size : 58,58 MB
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Nonlocal Nonlinear Fractional-order Boundary Value Problems by Bashir Ahmad PDF Summary

Book Description: 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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Fractional Differential Equations

Fractional Differential Equations

File Size : 68,68 MB
Total View : 900 Views
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Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes,