Article

Initial‐Boundary Value Problem for Fractional Partial Differential Equations of Higher Order

Djumaklych AmanovInstitute of Mathematics and Information Technologies, Uzbek Academy of Sciences, 29 Do'rmon yo'li street, Tashkent 100047, UzbekistanAllaberen AshyralyevDepartment of Mathematics, Fatih University, 34500 Buyucekmece, Istanbul, Turkey

Abstract and Applied Analysisjournal2012en

ABI

Abstract

The initial‐boundary value problem for partial differential equations of higher‐order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right‐hand side of the equation are established.

Topics

Differential Equations and Boundary Problems Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions

Identifiers

DOI: 10.1155/2012/973102

Citations and references

Cited by 041 references

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