Weakly nonlinear boundary-value problem for a two-term sequential fractional differential equation
UDC 517.927, 517.23 We establish the solvability conditions and propose an algorithm for the construction of solution of a weakly nonlinear boundary-value problem for the two-term differential equation with sequential Caputo derivative. A special case in which the sequential derivative is a combinat...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | Feruk, V., Ферук, Віктор Анатолійович, Ферук, Віктор |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9680 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Fredholm boundary-value problem for the two-term sequential fractional differential equation
by: Boichuk, O., et al.
Published: (2025)
by: Boichuk, O., et al.
Published: (2025)
Boundary-value problems for weakly singular Hammerstein-type integral equations
by: Boichuk, O., et al.
Published: (2024)
by: Boichuk, O., et al.
Published: (2024)
Solvability of boundary-value problems for nonlinear fractional differential equations
by: Guo, Y.
Published: (2010)
by: Guo, Y.
Published: (2010)
Solvability of boundary-value problems for nonlinear fractional differential equations
by: Guo, Y., et al.
Published: (2010)
by: Guo, Y., et al.
Published: (2010)
Boundary-value problems for weakly singular Hammerstein-type integral equations
by: O. Boichuk, et al.
Published: (2024)
by: O. Boichuk, et al.
Published: (2024)
Linear boundary-value problems for weakly singular integral equations
by: O. A. Boichuk, et al.
Published: (2019)
by: O. A. Boichuk, et al.
Published: (2019)
Unique solvability of the boundary-value problems for nonlinear fractional functional-differential equations
by: N. Dilna, et al.
Published: (2021)
by: N. Dilna, et al.
Published: (2021)
Existence of solutions to a boundary-value problem for nonlinear fractional order differential equation
by: A. N. Vitjuk, et al.
Published: (2016)
by: A. N. Vitjuk, et al.
Published: (2016)
Conditions of solvability of the nonlocal boundary-value problem for a differential-operator equation with weak nonlinearity
by: V. S. Ilkiv, et al.
Published: (2021)
by: V. S. Ilkiv, et al.
Published: (2021)
Methods for the solution of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions
by: Luchka, A. Y., et al.
Published: (2009)
by: Luchka, A. Y., et al.
Published: (2009)
Weakly nonlinear boundary-value problems for differential systems with pulse influence
by: Boichuk, О. A., et al.
Published: (1993)
by: Boichuk, О. A., et al.
Published: (1993)
Weakly nonlinear boundary-value problems for operator equations in Banach spaces
by: V. P. Zhuravlov
Published: (2021)
by: V. P. Zhuravlov
Published: (2021)
Weakly nonlinear boundary-value problems for operator equations with pulse influence
by: Boichuk, О. A., et al.
Published: (1997)
by: Boichuk, О. A., et al.
Published: (1997)
Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Variable Coefficients
by: Bilusyak, N.I., et al.
Published: (2001)
by: Bilusyak, N.I., et al.
Published: (2001)
A version of the projection-iterative method for the solution of Fredholm integral
equations of the second kind
by: Feruk, V. A., et al.
Published: (2018)
by: Feruk, V. A., et al.
Published: (2018)
Weakly nonlinear boundary-value problems for impulsive systems of integro-differential equations. Critical case of the second order
by: I. A. Bondar
Published: (2019)
by: I. A. Bondar
Published: (2019)
A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain
by: Bilusyak, N.I., et al.
Published: (2001)
by: Bilusyak, N.I., et al.
Published: (2001)
Nonlinear boundary-value problems for systems of ordinary differential equations
by: Boichuk, О. A., et al.
Published: (1998)
by: Boichuk, О. A., et al.
Published: (1998)
Fixed point theory for weakly sequentially upper semicontinuous maps with applications to differential inclusions
by: Agarwal, R.P., et al.
Published: (2002)
by: Agarwal, R.P., et al.
Published: (2002)
Two-point boundary value problems for differential-operator equations
by: Y. Eidelman, et al.
Published: (2016)
by: Y. Eidelman, et al.
Published: (2016)
Nonlocal boundary value problem for a differential-operator equation with weak nonlinearity in the spaces of Dirichlet - Taylor series with fixed spectrum
by: V. S. Ilkiv, et al.
Published: (2016)
by: V. S. Ilkiv, et al.
Published: (2016)
Solvability of a nonlocal boundary-value problem for the operator-differential equation with weak nonlinearity in a refined scale of Sobolev spaces
by: V. S. Ilkiv, et al.
Published: (2015)
by: V. S. Ilkiv, et al.
Published: (2015)
Impulsive boundary-value problems for weakly nonlinear systems with control
by: Kozachenko, Yu. V., et al.
Published: (1999)
by: Kozachenko, Yu. V., et al.
Published: (1999)
Weakly nonlinear boundary-value problems for Fredholm integral equations with degenerate kernel in Banach spaces
by: V. F. Zhuravlev
Published: (2018)
by: V. F. Zhuravlev
Published: (2018)
Weakly nonlinear boundary-value problems for Fredholm integral equations with degenerate kernel in Banach spaces
by: Zhuravlev, V.F.
Published: (2018)
by: Zhuravlev, V.F.
Published: (2018)
Noetherian boundary-value problems for integral equations
by: N. O. Kozlova, et al.
Published: (2016)
by: N. O. Kozlova, et al.
Published: (2016)
Weakly nonlinear boundary-value problem in a special critical case
by: Chuiko, S. M., et al.
Published: (2009)
by: Chuiko, S. M., et al.
Published: (2009)
Some nonlocal boundary-value problems for biparabolic evolution equation and its fractional differential analogue
by: V. M. Bulavatskij
Published: (2019)
by: V. M. Bulavatskij
Published: (2019)
Initial-boundary value problem for doubly nonlinear integro-differential equations with variable exponents of nonlinearity
by: O. M. Buhrii
Published: (2017)
by: O. M. Buhrii
Published: (2017)
On the existence of initial values of solutions of weakly nonlinear parabolic equations
by: Skrypnik, I. I., et al.
Published: (1993)
by: Skrypnik, I. I., et al.
Published: (1993)
On the existence of an invariant manifold for weakly nonlinear matrix differential equations
by: Lipchan, V. V., et al.
Published: (1996)
by: Lipchan, V. V., et al.
Published: (1996)
Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative
by: Benchohra, M., et al.
Published: (2011)
by: Benchohra, M., et al.
Published: (2011)
On the approximate solution of weakly nonlinear boundary-value problems by the Newton – Kantorovich method
by: A. A. Boichuk, et al.
Published: (2020)
by: A. A. Boichuk, et al.
Published: (2020)
Basic boundary-value problems for one equation with fractional derivatives
by: Lopushanskaya, G. P., et al.
Published: (1999)
by: Lopushanskaya, G. P., et al.
Published: (1999)
Ulam–Hyers stability analysis of a three-point boundary-value problem for fractional differential equations
by: A. Ali, et al.
Published: (2020)
by: A. Ali, et al.
Published: (2020)
Ulam-Hyers stability analysis to a three-point boundary value problem for fractional differential equations
by: Shah, K., et al.
Published: (2020)
by: Shah, K., et al.
Published: (2020)
A nonlinear fractional partial differential equation for image inpainting
by: O. Gouasnouane, et al.
Published: (2022)
by: O. Gouasnouane, et al.
Published: (2022)
Two-point boundary-value problems for differential equations with generalized piecewise-constant argument
by: A. T. Assanova, et al.
Published: (2024)
by: A. T. Assanova, et al.
Published: (2024)
Two-point boundary-value problems for differential equations with generalized piecewise-constant argument
by: Assanova, Anar T., et al.
Published: (2024)
by: Assanova, Anar T., et al.
Published: (2024)
The Solvability of the Initial-Boundary Value Problems for a Nonlinear Schrödinger Equation with a Special Gradient Term
by: G. Yagub, et al.
Published: (2018)
by: G. Yagub, et al.
Published: (2018)
Similar Items
-
Fredholm boundary-value problem for the two-term sequential fractional differential equation
by: Boichuk, O., et al.
Published: (2025) -
Boundary-value problems for weakly singular Hammerstein-type integral equations
by: Boichuk, O., et al.
Published: (2024) -
Solvability of boundary-value problems for nonlinear fractional differential equations
by: Guo, Y.
Published: (2010) -
Solvability of boundary-value problems for nonlinear fractional differential equations
by: Guo, Y., et al.
Published: (2010) -
Boundary-value problems for weakly singular Hammerstein-type integral equations
by: O. Boichuk, et al.
Published: (2024)