Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2022, Cilt: 10 Sayı: 2, 276 - 281, 31.10.2022

Öz

Kaynakça

  • [1] Agarwal, R., Benchohra, M. & Hamani, S. A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. Acta Applicandae Mathematicae. 109, 973-1033 (2010)
  • [2] Yakar, A. & Koksal, M. Existence results for solutions of nonlinear fractional differential equations. Abstract And Applied Analysis. 2012 (2012)
  • [3] Refice, A., Souid, M. & Yakar, A. Some qualitative properties of nonlinear fractional integro-differential equations of variable order. An International Journal Of Optimization And Control: Theories & Applications (IJOCTA). 11, 68-78 (2021)
  • [4] Guezane, L. & Ashyralyev, A. Existence of solutions for weighted p (t)-Laplacian mixed Caputo fractional differential equations at resonance. Filomat. 36, 231-241 (2022)
  • [5] Gambo, Y., Ameen, R., Jarad, F. & Abdeljawad, T. Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives. Advances In Difference Equations. 2018, 1-13 (2018)
  • [6] Singh, H., Kumar, D. & Baleanu, D. Methods of mathematical modelling: fractional differential equations. (CRC Press,2019)
  • [7] Kazem, S. Exact solution of some linear fractional differential equations by Laplace transform. International Journal Of Nonlinear Science. 16, 3-11 (2013)
  • [8] Devi, J. & Sreedhar, C. Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation. European Journal Of Pure And Applied Mathematics. 9, 346-359 (2016)
  • [9] Kilbas, A., Srivastava, H. & Trujillo, J. Theory and applications of fractional differential equations. (elsevier,2006)
  • [10] Lakshmikantham, V., Leela, S. & Devi, J. Theory of fractional dynamic systems. (Cambridge Academic ,2009)
  • [11] Lakshmikantham, V. & Vatsala, A. Theory of fractional differential inequalities and applications. Communications In Applied Analysis. 11, 395-402 (2007)
  • [12] Al-Refai, M. & Luchko, Y. Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications. Journal Of Differential Equations. 319 pp. 312-324 (2022)
  • [13] Yakar, A. & Kutlay, H. A note on comparison results for fractional differential equations. AIP Conference Proceedings. 1676, 020064 (2015)
  • [14] Yakar, A. Some generalizations of comparison results for fractional differential equations. Computers & Mathematics With Applications. 62, 3215-3220 (2011)

Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations

Yıl 2022, Cilt: 10 Sayı: 2, 276 - 281, 31.10.2022

Öz

We consider fractional integro-differential equations with boundary conditions and prove some differential inequalities related to given problem with the aid of technique of upper and lower solutions. We require these theorems because they serve as the basis for improvement of monotone iterative technique to such type of differential equations of boundary value problems.

Kaynakça

  • [1] Agarwal, R., Benchohra, M. & Hamani, S. A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions. Acta Applicandae Mathematicae. 109, 973-1033 (2010)
  • [2] Yakar, A. & Koksal, M. Existence results for solutions of nonlinear fractional differential equations. Abstract And Applied Analysis. 2012 (2012)
  • [3] Refice, A., Souid, M. & Yakar, A. Some qualitative properties of nonlinear fractional integro-differential equations of variable order. An International Journal Of Optimization And Control: Theories & Applications (IJOCTA). 11, 68-78 (2021)
  • [4] Guezane, L. & Ashyralyev, A. Existence of solutions for weighted p (t)-Laplacian mixed Caputo fractional differential equations at resonance. Filomat. 36, 231-241 (2022)
  • [5] Gambo, Y., Ameen, R., Jarad, F. & Abdeljawad, T. Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives. Advances In Difference Equations. 2018, 1-13 (2018)
  • [6] Singh, H., Kumar, D. & Baleanu, D. Methods of mathematical modelling: fractional differential equations. (CRC Press,2019)
  • [7] Kazem, S. Exact solution of some linear fractional differential equations by Laplace transform. International Journal Of Nonlinear Science. 16, 3-11 (2013)
  • [8] Devi, J. & Sreedhar, C. Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation. European Journal Of Pure And Applied Mathematics. 9, 346-359 (2016)
  • [9] Kilbas, A., Srivastava, H. & Trujillo, J. Theory and applications of fractional differential equations. (elsevier,2006)
  • [10] Lakshmikantham, V., Leela, S. & Devi, J. Theory of fractional dynamic systems. (Cambridge Academic ,2009)
  • [11] Lakshmikantham, V. & Vatsala, A. Theory of fractional differential inequalities and applications. Communications In Applied Analysis. 11, 395-402 (2007)
  • [12] Al-Refai, M. & Luchko, Y. Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications. Journal Of Differential Equations. 319 pp. 312-324 (2022)
  • [13] Yakar, A. & Kutlay, H. A note on comparison results for fractional differential equations. AIP Conference Proceedings. 1676, 020064 (2015)
  • [14] Yakar, A. Some generalizations of comparison results for fractional differential equations. Computers & Mathematics With Applications. 62, 3215-3220 (2011)
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Hadi Kutlay

Ali Yakar 0000-0003-1160-577X

Yayımlanma Tarihi 31 Ekim 2022
Gönderilme Tarihi 14 Eylül 2022
Kabul Tarihi 26 Eylül 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 2

Kaynak Göster

APA Kutlay, H., & Yakar, A. (2022). Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp Journal of Mathematics, 10(2), 276-281.
AMA Kutlay H, Yakar A. Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp J. Math. Ekim 2022;10(2):276-281.
Chicago Kutlay, Hadi, ve Ali Yakar. “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”. Konuralp Journal of Mathematics 10, sy. 2 (Ekim 2022): 276-81.
EndNote Kutlay H, Yakar A (01 Ekim 2022) Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp Journal of Mathematics 10 2 276–281.
IEEE H. Kutlay ve A. Yakar, “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”, Konuralp J. Math., c. 10, sy. 2, ss. 276–281, 2022.
ISNAD Kutlay, Hadi - Yakar, Ali. “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”. Konuralp Journal of Mathematics 10/2 (Ekim 2022), 276-281.
JAMA Kutlay H, Yakar A. Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp J. Math. 2022;10:276–281.
MLA Kutlay, Hadi ve Ali Yakar. “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”. Konuralp Journal of Mathematics, c. 10, sy. 2, 2022, ss. 276-81.
Vancouver Kutlay H, Yakar A. Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp J. Math. 2022;10(2):276-81.
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