Hybrid Fractional Problem with Periodic Boundary Conditions DOI
Süleyman Çetinkaya, Ali Demir

Punjab University Journal of Mathematics, Journal Year: 2025, Volume and Issue: unknown, P. 400 - 412

Published: March 25, 2025

The primary focus of the current study is to construct analytic solution hybrid fractional problem including periodic boundary conditions. Utilization separation variables method (SVM) provides in a Fourier series form terms corresponding eigenfunctions which are solutions SturmLiouville sense derivative. significant motivation this that diffusion with conditions constant proportional Caputo derivative (CPCHD), combination Riemann-Liouville integral and derivative, considered through SVM. Special cases CPCHD taken into account obtained results compared analyze effect chosen proportions. Moreover, established given bivariate Mittag-Leffler function emerging diverse applications. As result, novelty research problems their by means MittagLeffler function. Examples provided present accuracy efficiency proposed as well influence proportions for problem.

Language: Английский

Hybrid Fractional Problem with Periodic Boundary Conditions DOI
Süleyman Çetinkaya, Ali Demir

Punjab University Journal of Mathematics, Journal Year: 2025, Volume and Issue: unknown, P. 400 - 412

Published: March 25, 2025

The primary focus of the current study is to construct analytic solution hybrid fractional problem including periodic boundary conditions. Utilization separation variables method (SVM) provides in a Fourier series form terms corresponding eigenfunctions which are solutions SturmLiouville sense derivative. significant motivation this that diffusion with conditions constant proportional Caputo derivative (CPCHD), combination Riemann-Liouville integral and derivative, considered through SVM. Special cases CPCHD taken into account obtained results compared analyze effect chosen proportions. Moreover, established given bivariate Mittag-Leffler function emerging diverse applications. As result, novelty research problems their by means MittagLeffler function. Examples provided present accuracy efficiency proposed as well influence proportions for problem.

Language: Английский

Citations

0