A computationally efficient method for tempered fractional differential equations with application

作者：Moghaddam Behrouz Parsa^*; Machado J A Tenreiro; Babaei Afshin

来源：COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37(3): 3657-3671.

DOI：10.1007/s40314-017-0522-1

• Tempered fractional calculus
• Computational method
• Sinc-collocation method
• Convergence order
• The lumped capacitance model

This paper investigates the numerical approximation of the tempered fractional integral by using the Sinc-collocation scheme. The algorithm is extended to solve a class of tempered fractional differential equations that converges to the solution with exponential rate. Several numerical examples compare the numerical approximations with the exact solutions. The behavioral responses of the lumped capacitance model with tempered fractional order for transient conduction are investigated. The efficiency and accuracy of the proposed scheme are analyzed in the perspective of the -norm error and convergence order.

• 出版日期2018-7