Nonlocal Nonlinear Fractional-order Boundary Value Problems
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A01=Bashir Ahmad
A01=Sotiris K. Ntouyas
Author_Bashir Ahmad
Author_Sotiris K. Ntouyas
Caputo Fractional Derivative
Caputo-Type Generalized Fractional Derivative
Category=PBKJ
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Erdelyi-Kober Fractional Integral
Existence
Extremal Solutions
Fixed Point
Fractional Differential Equations
Fractional Differential Inclusions
Generalized Fractional Derivative
Generalized Fractional Integral
Hadamard Fractional Derivative
Hadamard Integral
Hybrid Fractional Differential Equation
Hybrid Fractional Differential Inclusions
Integral Boundary Conditions
Integro-Differential Boundary Conditions
Monotone Iterative Technique
Multivalued Maps
Nonlinear
Nonlocal Boundary Conditions
Riemann-Liouville Fractional Derivative
Riemann-Liouville Fractional Integral
Single-Valued Maps
Steiltjes Type Integral Boundary Conditions
Successive Iteration
Systems
Uniqueness
Product details
- ISBN 9789811230400
- Publication Date: 13 Apr 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
