Impulsive differential equations involving general conformable fractional derivative in Banach spaces
DOI10.1007/s13398-022-01260-2zbMath1500.34063OpenAlexW4281399567WikidataQ115375727 ScholiaQ115375727MaRDI QIDQ2670718
Yunyi Mu, Jin Liang, Ti-Jun Xiao
Publication date: 1 June 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01260-2
impulsivedelay evolution equationsgeneral conformable fractional derivativeSobolev-type integro-differential equations\((\omega, c)\)-periodic
Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Periodic solutions to functional-differential equations (34K13) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
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- Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
- Existence of the mild solution for some fractional differential equations with nonlocal conditions
- Existence of solutions to Sobolev-type partial neutral differential equations
- Semigroups of linear operators and applications to partial differential equations
- Impulsive integral equations in Banach spaces and applications
- The Cauchy problem for higher-order abstract differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Some probability densities and fundamental solutions of fractional evolution equations
- S-asymptotically \(\omega\)-periodic solution for fractional differential equations of order \(q\in(0, 1)\) with finite delay
- General conformable fractional derivative and its physical interpretation
- Solvability of the Cauchy problem for infinite delay equations
- On new existence results for fractional integro-differential equations with impulsive and integral conditions
- Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces
- A new definition of fractional derivative
- Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
- Solutions to fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and impulsive conditions
- A study of controllability of impulsive neutral evolution integro-differential equations with state-dependent delay in Banach spaces
- Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
- Existence and uniqueness results for boundary value problems of higher order fractional integro-differential equations involving Gronwall's inequality in Banach spaces
- Boundary Value Problems for Impulsive Fractional Evolution Integrodifferential Equations with Gronwall’s Inequality in Banach Spaces
- Periodic solutions of degenerate differential equations in vector-valued function spaces
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
- On the existence for diffeo-integral inclusion of Sobolev-type of fractional order with applications
- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>ω</mml:mi> <mml:mo>,</mml:mo> <mml:mi>c</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:math>-periodic functions and mild solutions to abstract fractional integro-differential equations
- CONTROLLABILITY OF SECOND ORDER SEMI-LINEAR NEUTRAL IMPULSIVE DIFFERENTIAL INCLUSIONS ON UNBOUNDED DOMAIN WITH INFINITE DELAY IN BANACH SPACES
