Multiplicative Volterra Integral Equations And The Relationship Between Multiplicative Differential Equations
Multiplicative Volterra Integral Equations And The Relationship Between Multiplicative Differential Equations
In this study, the multiplicative Volterra integral equation is defined by using the concept of multiplicative integral. The solution of multiplicative Volterra integral equation of the second kind is researched by using the successive approximations method with respect to the multiplicative calculus and the necessary conditions for the continuity and uniqueness of the solution are given. The main purpose of this study is to investigate the relationship of the multiplicative integral equations with the multiplicative differential equations.
Keywords:
Multiplicative calculus, Multiplicative differential equations Multiplicative Volterra integral equations, Succesive approximations method,
___
- Referans1 Aniszewska D., (2007) Multiplicative Runge-Kutta Methods, Nonlinear Dyn, 50, 265-272.
- Referans2 Bashirov A.E., Mısırlı E., Özyapıcı A., (2008) Multiplicative Calculus and Its Applications, J. Math. Anal. Appl., 337, 36-48. Referans3 Bashirov A.E., Mısırlı E., Tandoğdu Y., Özyapıcı A., (2011). On Modeling With Multiplicative Differential Equations, Appl. Math. J. Chinese Univ., 26(4), 425-438.
- Referans4 Bashirov A., Rıza M., (2011) On Complex Multiplicative Differentition, TWMS J. App. Eng. Math., 1(1), 75-85.
- Referans5 Bashirov A., (2013). On Line and Double Multiplicative Integrals, TWMS J. App. Eng. Math.,3(1), 103-107.
- Referans6 Bashirov A.E., Norozpour S., (2017) On Complex Multiplicative Integration, TWMS J. App. Eng. Math.,7(1), 82-93.
- Referans7 Bhat A.H., Majid J., Shah T.R., Wani I.A., Jain R., (2019) Multiplicative Fourier Transform and Its Applications to Multiplicative Differential Equations, Journal Of Computer and Mathematical Sciences, 10(2), 375-383.
- Referans8 Bhat A.H., Majid J., Wani I.A., Jain R., (2019) Multiplicative Sumudu Transform and Its Applications, JETIR, 6(1), 579-589.
- Referans9 Campbell D., (1999) Multiplicative Calculus And Student Projects, Primus, IX (4).
- Referans10 Grossman M., Katz R., (1972) Non-Newtonian Calculus. Lee Press, Pigeon Cove Massachussets.
- Referans11 Krasnov M., Kıselev K., Makarenko G., (1971) Problems and Exercises in Integral Equations. Mır Publishers, Moscow.
- Referans12 Mısırlı E., Gurefe Y., (2011) Multiplicative Adams Bashforth-Moulton Methods, Numer Algor, 57, 425-439.
- Referans13 Lovitt W. V., (1950) Linear Integral Equations, Dover Publications Inc., New York.
- Referans14 Rıza M., Özyapıcı A., Mısırlı E., (2009) Multiplicative Finite Difference Methods, Quarterly of Applied Mathematics, LXVII (4), 745-754.
- Referans15 Smithies F., (1958) Integral Equations, Cambridge University Press, London.
- Referans16 Stanley D., (1999) A Multiplicative Calculus, Primus, IX (4), 310-326.
- Referans17 Yalcin N., Celik E., Gokdogan A., (2016) Multiplicative Laplace Transform and Its Applications, Optik, 9984-9995.
- Referans18 Wazwaz A. M., (2011) Linear and Nonlinear Integral Equations Methods and Applications, Springer Verlag Berlin Heidelberg.
- Referans19 Zarnan J.A., (2016) Numerical Solution of Volterra Integral Equations of Second Kind, International Journal Of Computer Science and Mobile Computing, 5(7), 509-517.
- ISSN: 2687-6531
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2019
- Yayıncı: Nihat AKGÜNEŞ