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Advanced Topics in Fractional Differential Equations: Theory, Methods, and Applications
"Fractional differential equations generalize traditional calculus by allowing derivatives and integrals of non-integer, or fractional, orders. This advanced branch of mathematical analysis provides powerful tools for modeling complex systems characterized by memory effects, anomalous diffusion, and hereditary properties. This guide explores core theoretical developments, analytical and numerical solution methods, and contemporary applications across scientific and engineering disciplines. Foundations of Fractional Calculus To understand advanced topics in fractional differential equations (FDEs), one must first establish a firm grasp of fract..."
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