Existence and uniqueness results on time scales for fractional nonlocal thermistor problem in the conformable sense
作者： P. Agarwal , M. R. Sidi Ammi , J. Asad
DOI: 10.1186/S13662-021-03319-7
关键词:
摘要: We study a conformable fractional nonlocal thermistor problem on time scales. Under an appropriate nonrestrictive condition the resistivity function, we establish existence and uniqueness results. The proof is based use of Schauder’s point fixed theorem.
springeropen.com
springer.com
sci-hub.st 参考文章(29)
Igor Podlubny, Fractional differential equations ,(1999)
Umida Baltaeva, Praveen Agarwal, None, Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries Mathematical Methods in The Applied Sciences. ,vol. 41, pp. 3307- 3315 ,(2018) , 10.1002/MMA.4817
Tüba Gülşen, Emrah Yilmaz, Hikmet Kemaloğlu, Conformable fractional Sturm-Liouville equation and some existenceresults on time scales Turkish Journal of Mathematics. ,vol. 42, pp. 1348- 1360 ,(2018)
Moulay Rchid Sidi Ammi, Delfim F. M. Torres, Existence of solution to a nonlocal conformable fractional thermistor problem Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics. ,vol. 68, pp. 1061- 1072 ,(2018) , 10.31801/CFSUASMAS.501582
Adel A. El‐Sayed, Praveen Agarwal, Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials Mathematical Methods in The Applied Sciences. ,vol. 42, pp. 3978- 3991 ,(2019) , 10.1002/MMA.5627
Sergo REKHVIASHVILI, Arsen PSKHU, Praveen AGARWAL, Shilpi JAIN, Application of the fractional oscillator model to describe damped vibrations Turkish journal of physics. ,vol. 43, pp. 236- 242 ,(2019) , 10.3906/FIZ-1811-16
Moulay Rchid Sidi Ammi, Delfim F.M. Torres, Existence of positive solutions for non local p-Laplacian thermistor problems on time scales Journal of Inequalities in Pure & Applied Mathematics. ,vol. 8, ,(2007)
P. Agarwal, S. Deni̇z, S. Jain, A.A. Alderremy, Shaban Aly, A new analysis of a partial differential equation arising in biology and population genetics via semi analytical techniques Physica A-statistical Mechanics and Its Applications. ,vol. 542, pp. 122769- ,(2020) , 10.1016/J.PHYSA.2019.122769
A.A. Alderremy, Khaled M. Saad, Praveen Agarwal, Shaban Aly, Shilpi Jain, Certain new models of the multi space-fractional Gardner equation Physica A: Statistical Mechanics and its Applications. ,vol. 545, pp. 123806- ,(2020) , 10.1016/J.PHYSA.2019.123806
Moulay Rchid Sidi Ammi, Delfim F. M. Torres, Ismail Jamiai, Global existence of solutions for a fractional Caputo nonlocal thermistor problem Advances in Difference Equations. ,vol. 2017, pp. 1- 14 ,(2017) , 10.1186/S13662-017-1418-5