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Existence of mild solution for evolution equation with Hilfer fractional derivative

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  1. Mian Zhou & Yong Zhou, 2025. "Existence of Mild Solutions for Fractional Integrodifferential Equations with Hilfer Derivatives," Mathematics, MDPI, vol. 13(9), pages 1-18, April.
  2. Gou, Haide & Li, Baolin, 2018. "Study on the mild solution of Sobolev type Hilfer fractional evolution equations with boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 168-179.
  3. Sivajiganesan Sivasankar & Ramalingam Udhayakumar, 2022. "Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators," Mathematics, MDPI, vol. 10(12), pages 1-19, June.
  4. B. Radhakrishnan & T. Sathya, 2022. "Controllability of Hilfer Fractional Langevin Dynamical System with Impulse in an Abstract Weighted Space," Journal of Optimization Theory and Applications, Springer, vol. 195(1), pages 265-281, October.
  5. Sousa, J. Vanterler da C. & Oliveira, D.S. & Capelas de Oliveira, E., 2021. "A note on the mild solutions of Hilfer impulsive fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
  6. Anbu Dhanush & Velusamy Vijayakumar, 2026. "Time-Optimal Control of Hilfer Fractional Stochastic Hemivariational Inequalities Analysis," Journal of Optimization Theory and Applications, Springer, vol. 208(3), pages 1-31, March.
  7. Kavitha, K. & Vijayakumar, V. & Udhayakumar, R., 2020. "Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  8. Sivajiganesan Sivasankar & Ramalingam Udhayakumar & Velmurugan Subramanian & Ghada AlNemer & Ahmed M. Elshenhab, 2022. "Existence of Hilfer Fractional Stochastic Differential Equations with Nonlocal Conditions and Delay via Almost Sectorial Operators," Mathematics, MDPI, vol. 10(22), pages 1-18, November.
  9. Boudjerida, Assia & Seba, Djamila, 2021. "Approximate controllability of hybrid Hilfer fractional differential inclusions with non-instantaneous impulses," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
  10. Debbouche, Amar & Antonov, Valery, 2017. "Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 140-148.
  11. Mian Zhou & Yong Zhou, 2025. "Existence of Hilfer Fractional Evolution Inclusions with Almost Sectorial Operators," Mathematics, MDPI, vol. 13(9), pages 1-17, April.
  12. Athasit Wongcharoen & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Boundary Value Problems for Hilfer Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions," Mathematics, MDPI, vol. 8(11), pages 1-11, October.
  13. Athasit Wongcharoen & Bashir Ahmad & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Three‐Point Boundary Value Problems for the Langevin Equation with the Hilfer Fractional Derivative," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
  14. Jayaprakash Pradeesh & Sumati Kumari Panda & Velusamy Vijayakumar & Yong-Ki Ma, 2026. "Conversation on Optimal Control of Hilfer Fractional Systems with Deviated Arguments," Journal of Optimization Theory and Applications, Springer, vol. 208(2), pages 1-25, February.
  15. Nawapol Phuangthong & Sotiris K. Ntouyas & Jessada Tariboon & Kamsing Nonlaopon, 2021. "Nonlocal Sequential Boundary Value Problems for Hilfer Type Fractional Integro-Differential Equations and Inclusions," Mathematics, MDPI, vol. 9(6), pages 1-19, March.
  16. Yao-Qun Wu & Jia Wei He, 2022. "Existence and Optimal Controls for Hilfer Fractional Sobolev-Type Stochastic Evolution Equations," Journal of Optimization Theory and Applications, Springer, vol. 195(1), pages 79-101, October.
  17. Ahmed, Hamdy M. & El-Borai, Mahmoud M., 2018. "Hilfer fractional stochastic integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 182-189.
  18. Yong Zhou, 2022. "Infinite Interval Problems for Fractional Evolution Equations," Mathematics, MDPI, vol. 10(6), pages 1-13, March.
  19. Zhang, Chuanlin & Ye, Guoju & Liu, Wei & Liu, Xuelong, 2024. "On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
  20. Athasit Wongcharoen & Sotiris K. Ntouyas & Phollakrit Wongsantisuk & Jessada Tariboon, 2021. "Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ‐Hilfer Fractional Derivatives," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
  21. Karim Guida & Khalid Hilal & Lahcen Ibnelazyz, 2020. "Existence Results for a Class of Coupled Hilfer Fractional Pantograph Differential Equations with Nonlocal Integral Boundary Value Conditions," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
  22. Vijayakumar, V. & Udhayakumar, R., 2020. "Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  23. Surang Sitho & Sotiris K. Ntouyas & Ayub Samadi & Jessada Tariboon, 2021. "Boundary Value Problems for ψ -Hilfer Type Sequential Fractional Differential Equations and Inclusions with Integral Multi-Point Boundary Conditions," Mathematics, MDPI, vol. 9(9), pages 1-18, April.
  24. Ahmed, Hamdy M. & Zhu, Quanxin, 2023. "Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise," Statistics & Probability Letters, Elsevier, vol. 195(C).
  25. Guotao Wang & Jianfang Qin & Huanhe Dong & Tingting Guan, 2019. "Generalized Mittag–Leffler Stability of Hilfer Fractional Order Nonlinear Dynamic System," Mathematics, MDPI, vol. 7(6), pages 1-10, June.
  26. Shanmugam Vivek & Sumati Kumari Panda & Velusamy Vijayakumar, 2025. "Optimal Feedback Control Results for Hilfer Fractional Neutral Dynamical Systems with History-Dependent Operators," Journal of Optimization Theory and Applications, Springer, vol. 204(2), pages 1-23, February.
  27. Nisar, Kottakkaran Sooppy & Jothimani, K. & Kaliraj, K. & Ravichandran, C., 2021. "An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
  28. Sivajiganesan Sivasankar & Ramalingam Udhayakumar & Muchenedi Hari Kishor & Sharifah E. Alhazmi & Shrideh Al-Omari, 2022. "A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators," Mathematics, MDPI, vol. 11(1), pages 1-18, December.
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