Some Existence and Stability Results of Hilfer-Hadmard Fractional Implicit Differential Equation in a Weighted Space
DOI10.5890/DNC.2021.06.004zbMath1501.34011arXiv1910.08369OpenAlexW3135123479WikidataQ115158678 ScholiaQ115158678MaRDI QIDQ5087574
Mohammed S. Abdo, Satish K. Panchal, Laxman A. Palve
Publication date: 1 July 2022
Published in: The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.08369
Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)
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Cites Work
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- Existence and uniqueness for a problem involving hilfer fractional derivative
- Existence and stability of fractional differential equations with Hadamard derivative
- Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
- Basic theory of fractional differential equations
- The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence and uniqueness for a nonlinear fractional differential equation
- Compositions of Hadamard-type fractional integration operators and the semigroup property
- Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
- Hyers-Ulam stability of linear differential equations of first order.
- On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
- Existence and stability results for nonlinear boundary value problem for implicit differential equations of fractional order
- Well-posedness and stability for a differential problem with Hilfer-Hadamard fractional derivative
- GENERALIZED ULAM–HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- On the Stability of the Linear Mapping in Banach Spaces
- Nonlocal initial value problems for implicit differential equations with Hilfer–Hadamard fractional derivative
- On abstract Hilfer fractional integrodifferential equations with boundary conditions
- Advances in Fractional Calculus
- Stability of functional equations in several variables
- Analysis of fractional differential equations
