Existence and continuation of solutions of Hilfer-Katugampola-type fractional differential equations
DOI10.7153/dea-2021-13-15zbMath1499.34080arXiv2002.03778OpenAlexW3208454104WikidataQ115157922 ScholiaQ115157922MaRDI QIDQ5078617
Ahmad Y. A. Salamooni, D. D. Pawar
Publication date: 23 May 2022
Published in: Differential Equations & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.03778
global solutionfractional differential equationscontinuation theoremlocal solutionCauchy-type problemHilfer-Katugampola-type fractional derivative
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)
Cites Work
- On the concept of solution for fractional differential equations with uncertainty
- A generalized Gronwall inequality and its application to a fractional differential equation
- Basic theory of fractional differential equations
- Existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations
- Impulsive differential inclusions with fractional order
- Approximation of solutions to fractional integral equation
- An existence result for a superlinear fractional differential equation
- Integral equations and initial value problems for nonlinear differential equations of fractional order
- Fractional order differential equations on an unbounded domain
- Existence and uniqueness for a nonlinear fractional differential equation
- Hilfer-Katugampola fractional derivatives
- Existence and uniqueness of nonlocal boundary conditions for Hilfer-Hadamard-type fractional differential equations
- Some existence results on nonlinear fractional differential equations
- ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS
- EXISTENCE AND CONTINUATION THEOREMS OF RIEMANN–LIOUVILLE TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
- Unique positive solution for nonlinear Caputo-type fractional q-difference equations with nonlocal and Stieltjes integral boundary conditions
- Existence and continuation of solutions of Hilfer fractional differential equations
- Fractional differentiation matrices with applications
- A New Approach to Generalized Fractional Derivatives
- Analysis of fractional differential equations
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