A NOTE ON ASYMPTOTIC BEHAVIOR OF FRACTIONAL DIFFERENTIAL EQUATIONS

A NOTE ON ASYMPTOTIC BEHAVIOR OF FRACTIONAL DIFFERENTIAL EQUATIONS

The purpose of the study is to present some new criteria for the asymptotic behavior of nonlinear fractional differential equations.

___

  • [1] Hilfer, R., (2000), Applications of Fractional Calculus in Physics, World Scientific, Singapore.
  • [2] Podlubbny, I., (1999), Fractional Differential Equations, Academic Press, San Diego.
  • [3] Diethelm, K., (2010), The Analysis of Fractional Differential Equations, Springer, Berlin.
  • [4] Hammet, M. E., (1971), Nonoscillation Properties of a Nonlinear Differential Equation, Proceedings of the American Mathematical Society 30,1,92-96.
  • [5] Grace, S. R., Lalli, B. S., (1988), Oscillations in second order differential equations with alternating coefficients, Periodica Mathematica Hungarica 19,1, 69-78.
  • [6] Tiryaki, A., (2012), Some criteria for the asymptotic behavior of a certain second order nonlinear perturbed differential equation, Advances in Pure Mathematics 2,5, 341-343.
  • [7] Grace, S. R., (1991), Oscillatory and asymptotic behavior of certain functional differential equations, Journal of Mathematical Analysis and Applications 62, 1, 177-188.
  • [8] Tunç C., (2007), On the non-oscillation of solutions of some nonlinear differential equations of third order, Nonlinear Dynamics and Systems Theory 7,4, 419–430.
  • [9] Agarwal, R. P., Grace S. R., Regan, D. O., (2003), oscillation theory for second order dynamic equations, Taylor and Francis, London.
  • [10] Philos, Ch. G., (1981), On the existence of nonoscillatory solutions tending to zero at ∞ for differential equations with positive delays, Archiv der Mathematik, 36, 1, 168-170.
  • [11] Mısır, A., Öğrekçi, S., (2016), Oscillation criteria for a class of second order nonlinear differential equations, Gazi University Journal of Science, 29,4,923-927.
  • [12] Agarwal, R. P., Grace, S. R., Manojlovic, J. V., (2006), Oscillation criteria for certain fourth order nonlinear functional differential equations, Mathematical and computer modelling 44,1- 2,163-187.
  • [13] Mısır, A., Öğrekçi, S., (2016), Oscillation Theorems for Second-Order Nonlinear Differential Equations, Gazi University Journal of Science 29,4,929-935.
  • [14] Tunç, E., Tunç, O., (2016), On the oscillation of a class of damped fractional differential equations, Miskolc Mathematical Notes, 17,1,647-656.
  • [15] Muthulakshmi, V., Pavithra, S., (2017), Oscillatory behavior of fractional differential equation with damping, International Journal of Mathematics And its Applications 5, 4C, 383-388.
  • [16] Chen, D., Qu, P., Lan, Y., (2013), Forced oscillation of certain fractional differential equations, Adv. Differ. Equ. Article ID 125.
  • [17] Bolat, Y., (2014), On the oscillation of fractional-order delay differential equations with constant coefficients, Communications in Nonlinear Science and Numerical Simulation, 19,11,3988-3993.
  • [18] Chen, D., (2012), Oscillation criteria of fractional differential equations, Adv. Differ. Equ. Article ID 33
  • [19] Grace, SR., Agarwal, RP., Wong, JY., Zafer, A., (2012), On the oscillation of fractional differential equations, Fract. Calc. Appl. Anal. 15: 222-231.
  • [20] Zheng, B., (2013), Oscillation for a class of nonlinear fractional differential equations with damping term, J. Adv. Math. Stud. 6, 107-115.
  • [21] Kısalar, S., Yıldız, M. K., Aktoprak, E., (2015), Oscillation of higher order fractional nonlinear difference equations, International Journal of Difference Equations, 10,2, 201-212.
  • [22] Abdalla, B., Abodayeh, K., Abdeljawad, T., Alzabut, J.,(2017), New oscillation criteria for forced nonlinear fractional difference equations, Vietnam Journal of Mathematics 45,4,609-618.
  • [23] Alzabut, J. O., Abdeljawad, T., (2014), Sufficient conditions for the oscillation of nonlinear fractional difference equations, J. Fract. Calc. Appl, 5,1, 177-187.
Sigma Journal of Engineering and Natural Sciences-Cover
  • ISSN: 1304-7191
  • Başlangıç: 1983
  • Yayıncı: Yıldız Teknik Üniversitesi
Sayıdaki Diğer Makaleler

MODELING AND OPTIMIZATION OF ZINC RECOVERY FROM ENYIGBA SPHALERITE IN A BINARY SOLUTION OF ACETIC ACID AND HYDROGEN PEROXIDE

Ikechukwu A. NNANWUBE, Judith N. UDEAJA, Okechukwu D. ONUKWULI

A THREE STEPS ITERATIVE PROCESS FOR APPROXIMATING THE FIXED POINTS OF MULTIVALUED GENERALIZED α-NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACES

İbrahim KARAHAN, Lateef Olakunle JOLAOSO

EVALUATION OF THE EFFECTS OF LAND COVER CHANGES AND URBANIZATION ON LAND SURFACE TEMPERATURE: A REMOTE SENSING STUDY OF SUB-WATERSHED OF OUED FEKAN, NORTHWEST ALGERIA

Mohammed CHRAIR, Abdelkader KHALDI, Mohamed Amine HAMADOUCHE, Abderrahmane HAMIMED, Flavie CERNESSON, Mehmet ALKAN

SELECTION OF SOCKS EXPORT MARKETS FOR TURKEY USING MULTI-CRITERIA DECISION MAKING METHODS

Aytaç YILDIZ, Ahmet ÖZBEK

FINITE ELEMENT ANALYSIS OF THE MECHANICAL BEHAVIOR OF REINFORCED CONCRETE (RC) BEAMS STRENGTHENED BY FIBER REINFORCED POLYMERS (FRP)

Ceren GÖKCEN, Emin HÖKELEKLİ, Emre ERCAN, Mehmet ERKEK

EDUCATIONAL DATA MINING METHODS FOR TIMSS 2015 MATHEMATICS SUCCESS: TURKEY CASE

Enes FİLİZ, Ersoy ÖZ

SIMULATION OF SHRINKAGE EFFECT IN DRYING OF FOOD PRODUCTS IN HOT-AIR DRYER

Burak TURKAN, Akin Burak ETEMOGLU

DEVELOPMENT OF A COMPOSITE ROAD TRAFFIC SAFETY PERFORMANCE INDEX: A BASIS FOR COMPARING TURKISH METROPOLITAN CITIES

Yunus Emre YILMAZ, Mustafa GÜRSOY

A COMPARATIVE STUDY ON THE PHYSICAL AND MECHANICAL PROPERTIES OF ALKALI ACTIVATED MATERIALS

Nihat KABAY, Nausad MIYAN

IMPACT SCORE TECHNIQUE AND SERVQUAL COMPARISON FOR PUBLIC TRANSPORTATION SERVICE QUALITY

Güzin AKYILDIZ ALÇURA, S. Şeyma KUŞAKCI GÜNDOĞAR, Cankat TANRIVERDİ, Gülhayat GÖLBAŞI ŞİMŞEK, Mustafa GÜRSOY