Abstract Fractional Integro-Differential Equations and Fixed Point Theory with Applications

Dear Colleagues, 

Abstract fractional integro-differential equations arise from approximation theory and operator theory, numerical computational methods, the modeling of nonlinear phenomena, optimal control of complex systems, and other scientific research. During the previous more than eight decades, fixed point theory and its application have made a more important contribution to promote our understanding of the real world around us in various fields, such as nonlinear functional analysis, differential equations, economics, game theory, optimization, dynamic system theory, signal and image processing, and so forth.

This Special Issue will focus more on the originality of the recent results concerning the abstract (degenerate) fractional integro-differential equations in Banach spaces and locally convex spaces, the corresponding semilinear Cauchy problems, and applications of fixed point theory. We are particularly interested in the qualitative analysis of solutions for various classes of the abstract fractional integro-differential equations. We would also like to receive new results concerning the existence and uniqueness of almost periodic solutions (almost automorphic solutions, hypercyclic and topologically mixing solutions) of the abstract fractional integro-differential equations. We cordially and earnestly invite researchers to contribute their original and high-quality research papers which will inspire an advance in abstract fractional integro-differential equations and fixed point theory with applications. Potential topics include, but are not limited to:

• Initial value problems of fractional integro-differential equations
• Boundary value problems of fractional integro-differential equations
• Singular and impulsive fractional integro-differential equations
• Well-posedness and optimal control
• Fixed point theory with applications
• Best proximity point theory with applications
• Algorithms for fixed points and best proximity points
• Nonlinear problems via fractional calculus and fixed point theory approaches
• Optimization

Prof. Dr. Wei-Shih Du
Prof. Dr. Marko Kostić
Prof. Dr. Vladimir E. Fedorov
Prof. Dr. Manuel Pinto
Guest Editors

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