Research Article

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

Volume: 10 Number: 2 October 31, 2022
EN

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

Abstract

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.

Keywords

References

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  3. [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. [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. [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. [6] Singh, H., Kumar, D. & Baleanu, D. Methods of mathematical modelling: fractional differential equations. (CRC Press,2019)
  7. [7] Kazem, S. Exact solution of some linear fractional differential equations by Laplace transform. International Journal Of Nonlinear Science. 16, 3-11 (2013)
  8. [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)

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 31, 2022

Submission Date

September 14, 2022

Acceptance Date

September 26, 2022

Published in Issue

Year 2022 Volume: 10 Number: 2

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. https://izlik.org/JA54HK93FC
AMA
1.Kutlay H, Yakar A. Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp J. Math. 2022;10(2):276-281. https://izlik.org/JA54HK93FC
Chicago
Kutlay, Hadi, and Ali Yakar. 2022. “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”. Konuralp Journal of Mathematics 10 (2): 276-81. https://izlik.org/JA54HK93FC.
EndNote
Kutlay H, Yakar A (October 1, 2022) Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp Journal of Mathematics 10 2 276–281.
IEEE
[1]H. Kutlay and A. Yakar, “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”, Konuralp J. Math., vol. 10, no. 2, pp. 276–281, Oct. 2022, [Online]. Available: https://izlik.org/JA54HK93FC
ISNAD
Kutlay, Hadi - Yakar, Ali. “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”. Konuralp Journal of Mathematics 10/2 (October 1, 2022): 276-281. https://izlik.org/JA54HK93FC.
JAMA
1.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, and Ali Yakar. “Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations”. Konuralp Journal of Mathematics, vol. 10, no. 2, Oct. 2022, pp. 276-81, https://izlik.org/JA54HK93FC.
Vancouver
1.Hadi Kutlay, Ali Yakar. Some Differential Inequalities for Boundary Value Problems of Fractional Integro-Differential Equations. Konuralp J. Math. [Internet]. 2022 Oct. 1;10(2):276-81. Available from: https://izlik.org/JA54HK93FC
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