Conformable fractional Sturm-Liouville equation and some existence results on time scales

DOI10.3906/mat-1704-120zbMath1424.34321OpenAlexW2801000047MaRDI QIDQ4634249

Hikmet Kemaloğlu, Emrah Sercan Yilmaz, Tuba Gulsen

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://dergipark.org.tr/tr/pub/tbtkmath/issue/45646/574913

zbMATH Keywords

existence theoremconformable fractional derivativetime scale calculus

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fractional derivatives and integrals (26A33) General spectral theory of ordinary differential operators (34L05) Fractional ordinary differential equations (34A08) Dynamic equations on time scales or measure chains (34N05)

Related Items (11)

Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense ⋮ A new definition of conformable fractional derivative on arbitrary time scales ⋮ Infinitely Many Positive Solutions for an Iterative System of Conformable Fractional Order Dynamic Boundary Value Problems on Time Scales ⋮ Uniqueness of the potential in conformable Sturm‐Liouville problem ⋮ Conformable fractional Sturm–Liouville problems on time scales ⋮ Extension of the variational method to conformable quantum mechanics ⋮ Unnamed Item ⋮ Existence and uniqueness analysis of solutions for Hilfer fractional spectral problems with applications ⋮ Reconstruction of potential in discrete Sturm-Liouville problem ⋮ New properties of the time-scale fractional operators with application to dynamic equations ⋮ Dynamic cobweb models with conformable fractional derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of positive solutions for second-order impulsive boundary value problems on time scales
• Spectral parameter power series for Sturm-Liouville equations on time scales
• On conformable fractional calculus
• Asymptotic integration of second-order nonlinear delay differential equations
• Recent history of fractional calculus
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• \(L^{2}\) spaces and boundary value problems on time-scales
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Sturm-Liouville eigenvalue problems on time scales
• Fractional singular Sturm-Liouville operator for Coulomb potential
• On the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
• A new definition of fractional derivative
• Existence of solutions of boundary value problems for Caputo fractional differential equations on time scales
• Double integral calculus of variations on time scales
• Existence of positive solutions for Sturm-Liouville boundary value problems on the half-line
• Solvability of Sturm-Liouville problems on time scales at resonance
• Fractional diffusion and wave equations
• Initial value problems in discrete fractional calculus
• On a New Definition of the Fractional Difference
• Asymptotic behavior of discretized Sturm–Liouville eigenvalue problems
• Spectral theory of Dirac system on time scales
• Three-point boundary value problems with delta Riemann-Liouville fractional derivative on time scales

This page was built for publication: Conformable fractional Sturm-Liouville equation and some existence results on time scales