On a Non-linear Boundary-Layer Problem for the Fractional Blasius-Type Equation
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Ramiz Tapdigoglu
Abstract
In this paper, we consider a non-linear sequential differential equation with Caputo fractional derivative of Blasius type and we reduce the problem to the equivalent non-linear integral equation. We prove the complete continuity of the non-linear integral operator. The theorem on the existence of a solution of the problem for the Blasius equation of fractional order is also proved.
Acknowledgements:
The authors are grateful to Professor Mokhtar Kirane for valuable advices during discussions of the results of the present work. The final version of this paper was completed when Berikbol T. Torebek was visiting the University of La Rochelle. The authors would like to thank the editor and referees for their valuable comments and remarks, which led to a great improvement of the article. The second named author is financially supported by a grant from the Ministry of Science and Education of the Republic of Kazakhstan (Grant No.AP05131756).
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Artikel in diesem Heft
- Frontmatter
- Asymptotic Behavior of a Stochastic Two-Species Competition System with Impulsive Effects
- Flow Modeling of Well Test Analysis for a Multiple-fractured Horizontal Well in Triple Media Carbonate Reservoir
- Finite Element Analysis of Flexible Structure and Cavitating Nonlinear Acoustic Fluid Interaction under Shock Wave Loading
- On the Uniqueness of p-Best Approximation in Probabilistic Normed Spaces
- Existence of Mild Solutions for Sobolev-Type Hilfer Fractional Nonautonomous Evolution Equations with Delay
- On a Non-linear Boundary-Layer Problem for the Fractional Blasius-Type Equation
- Measurement and Control of Non-Linear Data Using ARMA Based Artificial Neural Network
- Pseudo Almost Periodicity and Its Applications to Impulsive Nonautonomous Partial Functional Stochastic Evolution Equations
- Existence of Solutions to Boundary Value Problems for a Class of Nonlinear Difference Systems
- Existence and Multiple Solutions for Higher Order Difference Dirichlet Boundary Value Problems
- Compressive Wave Propagation in Highly Ordered Granular Media Based on DEM
- Ulam’s-Type Stability of First-Order Impulsive Differential Equations with Variable Delay in Quasi–Banach Spaces
Artikel in diesem Heft
- Frontmatter
- Asymptotic Behavior of a Stochastic Two-Species Competition System with Impulsive Effects
- Flow Modeling of Well Test Analysis for a Multiple-fractured Horizontal Well in Triple Media Carbonate Reservoir
- Finite Element Analysis of Flexible Structure and Cavitating Nonlinear Acoustic Fluid Interaction under Shock Wave Loading
- On the Uniqueness of p-Best Approximation in Probabilistic Normed Spaces
- Existence of Mild Solutions for Sobolev-Type Hilfer Fractional Nonautonomous Evolution Equations with Delay
- On a Non-linear Boundary-Layer Problem for the Fractional Blasius-Type Equation
- Measurement and Control of Non-Linear Data Using ARMA Based Artificial Neural Network
- Pseudo Almost Periodicity and Its Applications to Impulsive Nonautonomous Partial Functional Stochastic Evolution Equations
- Existence of Solutions to Boundary Value Problems for a Class of Nonlinear Difference Systems
- Existence and Multiple Solutions for Higher Order Difference Dirichlet Boundary Value Problems
- Compressive Wave Propagation in Highly Ordered Granular Media Based on DEM
- Ulam’s-Type Stability of First-Order Impulsive Differential Equations with Variable Delay in Quasi–Banach Spaces
